5527146240 has 1152 divisors, whose sum is σ = 25619005440. Its totient is φ = 1094860800.

The previous prime is 5527146239. The next prime is 5527146241. The reversal of 5527146240 is 426417255.

It is a happy number.

5527146240 is a `hidden beast` number, since 5 + 5 + 27 + 1 + 4 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5527146239) and next prime (5527146241).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5527146240² = 61098691116692275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5527146195 and 5527146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5527146241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82494687 + ... + 82494753.

It is an arithmetic number, because the mean of its divisors is an integer number (22238720).

Almost surely, 2^5527146240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5527146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809502720).

5527146240 is an abundant number, since it is smaller than the sum of its proper divisors (20091859200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5527146240 is a wasteful number, since it uses less digits than its factorization.

5527146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5527146240 is about 74344.7795073736. The cubic root of 5527146240 is about 1768.0735144114.

The spelling of 5527146240 in words is "five billion, five hundred twenty-seven million, one hundred forty-six thousand, two hundred forty".