57534202880 has 264 divisors, whose sum is σ = 173386860864. Its totient is φ = 17931386880.

The previous prime is 57534202877. The next prime is 57534202883. The reversal of 57534202880 is 8820243575.

It is an interprime number because it is at equal distance from previous prime (57534202877) and next prime (57534202883).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (57534202883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4330007 + ... + 4343273.

Almost surely, 2^57534202880 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 57534202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86693430432).

57534202880 is an abundant number, since it is smaller than the sum of its proper divisors (115852657984).

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

57534202880 is a wasteful number, since it uses less digits than its factorization.

57534202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 57534202880 in words is "fifty-seven billion, five hundred thirty-four million, two hundred two thousand, eight hundred eighty".