57958655120 has 80 divisors (see below), whose sum is σ = 135259200000. Its totient is φ = 23096715264.

The previous prime is 57958655113. The next prime is 57958655123. The reversal of 57958655120 is 2155685975.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (57958655123) 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 15 ways as a sum of consecutive naturals, for example, 38664131 + ... + 38665629.

It is an arithmetic number, because the mean of its divisors is an integer number (1690740000).

Almost surely, 2^57958655120 is an apocalyptic number.

It is an amenable number.

57958655120 is an abundant number, since it is smaller than the sum of its proper divisors (77300544880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57958655120 is a wasteful number, since it uses less digits than its factorization.

57958655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 53.

The spelling of 57958655120 in words is "fifty-seven billion, nine hundred fifty-eight million, six hundred fifty-five thousand, one hundred twenty".