5527648152 has 192 divisors, whose sum is σ = 16663963680. Its totient is φ = 1644281856.

The previous prime is 5527648117. The next prime is 5527648177. The reversal of 5527648152 is 2518467255.

5527648152 is a `hidden beast` number, since 5 + 52 + 76 + 481 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5527648098 and 5527648107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6683563 + ... + 6684389.

Almost surely, 2^5527648152 is an apocalyptic number.

5527648152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5527648152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331981840).

5527648152 is an abundant number, since it is smaller than the sum of its proper divisors (11136315528).

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

5527648152 is a wasteful number, since it uses less digits than its factorization.

5527648152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 5527648152 is about 74348.1550006454. The cubic root of 5527648152 is about 1768.1270315078.

The spelling of 5527648152 in words is "five billion, five hundred twenty-seven million, six hundred forty-eight thousand, one hundred fifty-two".