56642096017 has 32 divisors (see below), whose sum is σ = 66530134944. Its totient is φ = 47742566400.

The previous prime is 56642095999. The next prime is 56642096023. The reversal of 56642096017 is 71069024665.

It is a Cunningham number, because it is equal to 237996²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 50815979776 + 5826116241 = 225424^2 + 76329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-56642096017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56642096117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1622773 + ... + 1657309.

It is an arithmetic number, because the mean of its divisors is an integer number (2079066717).

Almost surely, 2^56642096017 is an apocalyptic number.

It is an amenable number.

56642096017 is a deficient number, since it is larger than the sum of its proper divisors (9888038927).

56642096017 is a wasteful number, since it uses less digits than its factorization.

56642096017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34789.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 56642096017 in words is "fifty-six billion, six hundred forty-two million, ninety-six thousand, seventeen".