57625720560 has 120 divisors (see below), whose sum is σ = 193588755360. Its totient is φ = 15361906176.

The previous prime is 57625720469. The next prime is 57625720561. The reversal of 57625720560 is 6502752675.

57625720560 is a `hidden beast` number, since 5 + 7 + 62 + 5 + 7 + 20 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57625720561) 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 23 ways as a sum of consecutive naturals, for example, 2585946 + ... + 2608134.

It is an arithmetic number, because the mean of its divisors is an integer number (1613239628).

Almost surely, 2^57625720560 is an apocalyptic number.

It is an amenable number.

57625720560 is an abundant number, since it is smaller than the sum of its proper divisors (135963034800).

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

57625720560 is a wasteful number, since it uses less digits than its factorization.

57625720560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25815 (or 25806 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 57625720560 in words is "fifty-seven billion, six hundred twenty-five million, seven hundred twenty thousand, five hundred sixty".