57253210560 has 1792 divisors, whose sum is σ = 268731187200. Its totient is φ = 11287019520.

The previous prime is 57253210543. The next prime is 57253210561. The reversal of 57253210560 is 6501235275.

57253210560 is a `hidden beast` number, since 5 + 72 + 5 + 3 + 21 + 0 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57253210561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1846877745 + ... + 1846877775.

It is an arithmetic number, because the mean of its divisors is an integer number (149961600).

Almost surely, 2^57253210560 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 57253210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134365593600).

57253210560 is an abundant number, since it is smaller than the sum of its proper divisors (211477976640).

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

57253210560 is a wasteful number, since it uses less digits than its factorization.

57253210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 57253210560 in words is "fifty-seven billion, two hundred fifty-three million, two hundred ten thousand, five hundred sixty".