57949900968961 has 16 divisors (see below), whose sum is σ = 58749618556800. Its totient is φ = 57154986724608.

The previous prime is 57949900968959. The next prime is 57949900968989. The reversal of 57949900968961 is 16986900994975.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 57949900968961 - 2¹ = 57949900968959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57949900968931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732085561 + ... + 732164713.

It is an arithmetic number, because the mean of its divisors is an integer number (3671851159800).

Almost surely, 2^{57949900968961} is an apocalyptic number.

It is an amenable number.

57949900968961 is a deficient number, since it is larger than the sum of its proper divisors (799717587839).

57949900968961 is a wasteful number, since it uses less digits than its factorization.

57949900968961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109368.

The product of its (nonzero) digits is 2380855680, while the sum is 82.

The spelling of 57949900968961 in words is "fifty-seven trillion, nine hundred forty-nine billion, nine hundred million, nine hundred sixty-eight thousand, nine hundred sixty-one".