56538000083565 has 256 divisors, whose sum is σ = 134982844416000. Its totient is φ = 21684134937600.

The previous prime is 56538000083531. The next prime is 56538000083611.

56538000083565 is a `hidden beast` number, since 56 + 538 + 0 + 0 + 0 + 0 + 8 + 3 + 56 + 5 = 666.

56538000083565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56538000083565 - 2¹¹ = 56538000081517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 648469275 + ... + 648556455.

It is an arithmetic number, because the mean of its divisors is an integer number (527276736000).

Almost surely, 2^{56538000083565} is an apocalyptic number.

56538000083565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56538000083565 is an abundant number, since it is smaller than the sum of its proper divisors (78444844332435).

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

56538000083565 is a wasteful number, since it uses less digits than its factorization.

56538000083565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92025 (or 92019 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 56538000083565 in words is "fifty-six trillion, five hundred thirty-eight billion, eighty-three thousand, five hundred sixty-five".