57262049280 has 960 divisors, whose sum is σ = 226040855040. Its totient is φ = 13801881600.

The previous prime is 57262049239. The next prime is 57262049281. The reversal of 57262049280 is 8294026275.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57262049281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 437114815 + ... + 437114945.

It is an arithmetic number, because the mean of its divisors is an integer number (235459224).

Almost surely, 2^57262049280 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 57262049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113020427520).

57262049280 is an abundant number, since it is smaller than the sum of its proper divisors (168778805760).

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

57262049280 is a wasteful number, since it uses less digits than its factorization.

57262049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57262049280 in words is "fifty-seven billion, two hundred sixty-two million, forty-nine thousand, two hundred eighty".