57575890944 has 672 divisors, whose sum is σ = 201515618304. Its totient is φ = 15606743040.

The previous prime is 57575890927. The next prime is 57575890949. The reversal of 57575890944 is 44909857575.

57575890944 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 589 + 0 + 9 + 44 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×57575890944² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57575890949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453353409 + ... + 453353535.

It is an arithmetic number, because the mean of its divisors is an integer number (299874432).

Almost surely, 2^57575890944 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 57575890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100757809152).

57575890944 is an abundant number, since it is smaller than the sum of its proper divisors (143939727360).

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

57575890944 is a wasteful number, since it uses less digits than its factorization.

57575890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 57575890944 in words is "fifty-seven billion, five hundred seventy-five million, eight hundred ninety thousand, nine hundred forty-four".