57224893071360 has 768 divisors, whose sum is σ = 224226524030400. Its totient is φ = 12391456702464.

The previous prime is 57224893071253. The next prime is 57224893071361. The reversal of 57224893071360 is 6317039842275.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 57224893071360.

It is not an unprimeable number, because it can be changed into a prime (57224893071361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457542594 + ... + 457667646.

It is a 1-persistent number, because it is pandigital, but 2⋅57224893071360 = 114449786142720 is not.

Almost surely, 2^{57224893071360} 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 57224893071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112113262015200).

57224893071360 is an abundant number, since it is smaller than the sum of its proper divisors (167001630959040).

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

57224893071360 is a wasteful number, since it uses less digits than its factorization.

57224893071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125124 (or 125089 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 57224893071360 in words is "fifty-seven trillion, two hundred twenty-four billion, eight hundred ninety-three million, seventy-one thousand, three hundred sixty".