56557311375565 has 64 divisors (see below), whose sum is σ = 91587069826560. Its totient is φ = 32379265981440.

The previous prime is 56557311375553. The next prime is 56557311375581.

56557311375565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56557311375565 - 2⁷ = 56557311375437 is a prime.

It is a super-2 number, since 2×56557311375565² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56557311375497 and 56557311375506.

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, 27694630 + ... + 29666599.

It is an arithmetic number, because the mean of its divisors is an integer number (1431047966040).

Almost surely, 2^{56557311375565} is an apocalyptic number.

56557311375565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56557311375565 is a deficient number, since it is larger than the sum of its proper divisors (35029758450995).

56557311375565 is a wasteful number, since it uses less digits than its factorization.

56557311375565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57361462.

The product of its digits is 248062500, while the sum is 64.

The spelling of 56557311375565 in words is "fifty-six trillion, five hundred fifty-seven billion, three hundred eleven million, three hundred seventy-five thousand, five hundred sixty-five".