57500397932544 has 832 divisors, whose sum is σ = 199934063956480. Its totient is φ = 15991497031680.

The previous prime is 57500397932441. The next prime is 57500397932581. The reversal of 57500397932544 is 44523979300575.

57500397932544 is a `hidden beast` number, since 5 + 7 + 50 + 0 + 3 + 9 + 7 + 9 + 32 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4580603772 + ... + 4580616324.

Almost surely, 2^{57500397932544} is an apocalyptic number.

57500397932544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57500397932544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99967031978240).

57500397932544 is an abundant number, since it is smaller than the sum of its proper divisors (142433666023936).

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

57500397932544 is a wasteful number, since it uses less digits than its factorization.

57500397932544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 57500397932544 in words is "fifty-seven trillion, five hundred billion, three hundred ninety-seven million, nine hundred thirty-two thousand, five hundred forty-four".