57687376335220 has 24 divisors (see below), whose sum is σ = 123129449164008. Its totient is φ = 22696672656000.

The previous prime is 57687376335203. The next prime is 57687376335293. The reversal of 57687376335220 is 2253367378675.

It is a happy number.

57687376335220 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 92694673764 + 57594681661456 = 304458^2 + 7589116^2 .

It is a congruent number.

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, 23642366131 + ... + 23642368570.

It is an arithmetic number, because the mean of its divisors is an integer number (5130393715167).

Almost surely, 2^{57687376335220} is an apocalyptic number.

It is an amenable number.

57687376335220 is an abundant number, since it is smaller than the sum of its proper divisors (65442072828788).

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

57687376335220 is a wasteful number, since it uses less digits than its factorization.

57687376335220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47284734771 (or 47284734769 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 64.

The spelling of 57687376335220 in words is "fifty-seven trillion, six hundred eighty-seven billion, three hundred seventy-six million, three hundred thirty-five thousand, two hundred twenty".