57158764101 has 8 divisors (see below), whose sum is σ = 84679650560. Its totient is φ = 38105842716.

The previous prime is 57158764093. The next prime is 57158764109. The reversal of 57158764101 is 10146785175.

57158764101 is a `hidden beast` number, since 5 + 7 + 1 + 587 + 64 + 1 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (57158764093) and next prime (57158764109).

It is not a de Polignac number, because 57158764101 - 2³ = 57158764093 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57158764109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058495605 + ... + 1058495658.

It is an arithmetic number, because the mean of its divisors is an integer number (10584956320).

Almost surely, 2^57158764101 is an apocalyptic number.

It is an amenable number.

57158764101 is a deficient number, since it is larger than the sum of its proper divisors (27520886459).

57158764101 is a wasteful number, since it uses less digits than its factorization.

57158764101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116991272 (or 2116991266 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 57158764101 in words is "fifty-seven billion, one hundred fifty-eight million, seven hundred sixty-four thousand, one hundred one".