57254914080 has 576 divisors, whose sum is σ = 241202078208. Its totient is φ = 12043468800.

The previous prime is 57254914009. The next prime is 57254914141. The reversal of 57254914080 is 8041945275.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 78754677 + ... + 78755403.

It is an arithmetic number, because the mean of its divisors is an integer number (418753608).

Almost surely, 2^57254914080 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 57254914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120601039104).

57254914080 is an abundant number, since it is smaller than the sum of its proper divisors (183947164128).

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

57254914080 is a wasteful number, since it uses less digits than its factorization.

57254914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57254914080 in words is "fifty-seven billion, two hundred fifty-four million, nine hundred fourteen thousand, eighty".