5140645560 has 224 divisors, whose sum is σ = 17942688000. Its totient is φ = 1323350784.

The previous prime is 5140645553. The next prime is 5140645561. The reversal of 5140645560 is 655460415.

5140645560 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 645 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140645561) 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 55 ways as a sum of consecutive naturals, for example, 842601 + ... + 848679.

Almost surely, 2^5140645560 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 5140645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971344000).

5140645560 is an abundant number, since it is smaller than the sum of its proper divisors (12802042440).

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

5140645560 is a wasteful number, since it uses less digits than its factorization.

5140645560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5140645560 is about 71698.2953772264. The cubic root of 5140645560 is about 1725.8612863374.

The spelling of 5140645560 in words is "five billion, one hundred forty million, six hundred forty-five thousand, five hundred sixty".