57296056320 has 624 divisors, whose sum is σ = 213596379360. Its totient is φ = 14714929152.

The previous prime is 57296056297. The next prime is 57296056333. The reversal of 57296056320 is 2365069275.

57296056320 is a `hidden beast` number, since 5 + 7 + 2 + 9 + 6 + 0 + 5 + 632 + 0 = 666.

It is a super-3 number, since 3×57296056320³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144322362 + ... + 144322758.

It is an arithmetic number, because the mean of its divisors is an integer number (342301890).

Almost surely, 2^57296056320 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 57296056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106798189680).

57296056320 is an abundant number, since it is smaller than the sum of its proper divisors (156300323040).

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

57296056320 is an equidigital number, since it uses as much as digits as its factorization.

57296056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 57296056320 in words is "fifty-seven billion, two hundred ninety-six million, fifty-six thousand, three hundred twenty".