57676249120 has 96 divisors (see below), whose sum is σ = 155916230400. Its totient is φ = 19750542336.

The previous prime is 57676249093. The next prime is 57676249151. The reversal of 57676249120 is 2194267675.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897421 + ... + 959539.

It is an arithmetic number, because the mean of its divisors is an integer number (1624127400).

Almost surely, 2^57676249120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57676249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77958115200).

57676249120 is an abundant number, since it is smaller than the sum of its proper divisors (98239981280).

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

57676249120 is a wasteful number, since it uses less digits than its factorization.

57676249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62970 (or 62962 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 57676249120 in words is "fifty-seven billion, six hundred seventy-six million, two hundred forty-nine thousand, one hundred twenty".