57987524160384 has 576 divisors, whose sum is σ = 194466718512000. Its totient is φ = 15258208702464.

The previous prime is 57987524160367. The next prime is 57987524160413. The reversal of 57987524160384 is 48306142578975.

57987524160384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57987524160384² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1395957087 + ... + 1395998625.

It is an arithmetic number, because the mean of its divisors is an integer number (337615830750).

It is a 2-persistent number, because it is pandigital, and so is 2⋅57987524160384 = 115975048320768, but 3⋅57987524160384 = 173962572481152 is not.

Almost surely, 2^{57987524160384} 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 57987524160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97233359256000).

57987524160384 is an abundant number, since it is smaller than the sum of its proper divisors (136479194351616).

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

57987524160384 is a wasteful number, since it uses less digits than its factorization.

57987524160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42035 (or 42003 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 57987524160384 in words is "fifty-seven trillion, nine hundred eighty-seven billion, five hundred twenty-four million, one hundred sixty thousand, three hundred eighty-four".