56695988959665 has 64 divisors (see below), whose sum is σ = 101299962120192. Its totient is φ = 26839533772800.

The previous prime is 56695988959661. The next prime is 56695988959691.

56695988959665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56695988959665 - 2² = 56695988959661 is a prime.

It is a super-3 number, since 3×56695988959665³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (56695988959661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17271025 + ... + 20289905.

It is an arithmetic number, because the mean of its divisors is an integer number (1582811908128).

Almost surely, 2^{56695988959665} is an apocalyptic number.

56695988959665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56695988959665 is a deficient number, since it is larger than the sum of its proper divisors (44603973160527).

56695988959665 is a wasteful number, since it uses less digits than its factorization.

56695988959665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021590.

The product of its digits is 340122240000, while the sum is 96.

The spelling of 56695988959665 in words is "fifty-six trillion, six hundred ninety-five billion, nine hundred eighty-eight million, nine hundred fifty-nine thousand, six hundred sixty-five".