56657977975665 has 72 divisors (see below), whose sum is σ = 110864194242984. Its totient is φ = 26728087795200.

The previous prime is 56657977975649. The next prime is 56657977975673.

56657977975665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 22495963626081 + 34162014349584 = 4742991^2 + 5844828^2 .

It is not a de Polignac number, because 56657977975665 - 2⁴ = 56657977975649 is a prime.

It is a super-2 number, since 2×56657977975665² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140413476 + ... + 140816405.

It is an arithmetic number, because the mean of its divisors is an integer number (1539780475597).

Almost surely, 2^{56657977975665} is an apocalyptic number.

56657977975665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56657977975665 is a deficient number, since it is larger than the sum of its proper divisors (54206216267319).

56657977975665 is a wasteful number, since it uses less digits than its factorization.

56657977975665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281229951 (or 281229937 counting only the distinct ones).

The product of its digits is 157529610000, while the sum is 90.

The spelling of 56657977975665 in words is "fifty-six trillion, six hundred fifty-seven billion, nine hundred seventy-seven million, nine hundred seventy-five thousand, six hundred sixty-five".