57158944177920 has 288 divisors, whose sum is σ = 196605959925312. Its totient is φ = 14069023113216.

The previous prime is 57158944177903. The next prime is 57158944177997. The reversal of 57158944177920 is 2977144985175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243833664 + ... + 1243879616.

It is an arithmetic number, because the mean of its divisors is an integer number (682659583074).

Almost surely, 2^{57158944177920} 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 57158944177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98302979962656).

57158944177920 is an abundant number, since it is smaller than the sum of its proper divisors (139447015747392).

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

57158944177920 is a wasteful number, since it uses less digits than its factorization.

57158944177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70907 (or 70893 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 69.

The spelling of 57158944177920 in words is "fifty-seven trillion, one hundred fifty-eight billion, nine hundred forty-four million, one hundred seventy-seven thousand, nine hundred twenty".