56553544535565 has 64 divisors (see below), whose sum is σ = 114941857462272. Its totient is φ = 23059323206400.

The previous prime is 56553544535549. The next prime is 56553544535699.

56553544535565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56553544535565 - 2⁴ = 56553544535549 is a prime.

It is a super-2 number, since 2×56553544535565² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56553544535496 and 56553544535505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461864331 + ... + 461986760.

It is an arithmetic number, because the mean of its divisors is an integer number (1795966522848).

Almost surely, 2^{56553544535565} is an apocalyptic number.

56553544535565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56553544535565 is an abundant number, since it is smaller than the sum of its proper divisors (58388312926707).

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

56553544535565 is a wasteful number, since it uses less digits than its factorization.

56553544535565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923851170.

The product of its digits is 2025000000, while the sum is 66.

The spelling of 56553544535565 in words is "fifty-six trillion, five hundred fifty-three billion, five hundred forty-four million, five hundred thirty-five thousand, five hundred sixty-five".