57546457920 has 336 divisors, whose sum is σ = 239520423168. Its totient is φ = 12379668480.

The previous prime is 57546457889. The next prime is 57546457949. The reversal of 57546457920 is 2975464575.

It is a happy number.

57546457920 is a `hidden beast` number, since 5 + 7 + 5 + 4 + 64 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258765 + ... + 426675.

Almost surely, 2^57546457920 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 57546457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119760211584).

57546457920 is an abundant number, since it is smaller than the sum of its proper divisors (181973965248).

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

57546457920 is a wasteful number, since it uses less digits than its factorization.

57546457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167958 (or 167945 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 57546457920 in words is "fifty-seven billion, five hundred forty-six million, four hundred fifty-seven thousand, nine hundred twenty".