57129130113680 has 40 divisors (see below), whose sum is σ = 137405407779000. Its totient is φ = 22063664043008.

The previous prime is 57129130113677. The next prime is 57129130113739. The reversal of 57129130113680 is 8631103192175.

57129130113680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6924139653376 + 50204990460304 = 2631376^2 + 7085548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12312310205 + ... + 12312314844.

It is an arithmetic number, because the mean of its divisors is an integer number (3435135194475).

Almost surely, 2^{57129130113680} is an apocalyptic number.

It is an amenable number.

57129130113680 is an abundant number, since it is smaller than the sum of its proper divisors (80276277665320).

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

57129130113680 is a wasteful number, since it uses less digits than its factorization.

57129130113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24624625091 (or 24624625085 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 57129130113680 in words is "fifty-seven trillion, one hundred twenty-nine billion, one hundred thirty million, one hundred thirteen thousand, six hundred eighty".