57205372224 has 672 divisors, whose sum is σ = 209392186752. Its totient is φ = 13547520000.

The previous prime is 57205372219. The next prime is 57205372241. The reversal of 57205372224 is 42227350275.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×57205372224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135879534 + ... + 135879954.

It is an arithmetic number, because the mean of its divisors is an integer number (311595516).

Almost surely, 2^57205372224 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 57205372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104696093376).

57205372224 is an abundant number, since it is smaller than the sum of its proper divisors (152186814528).

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

57205372224 is a wasteful number, since it uses less digits than its factorization.

57205372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 39.

The spelling of 57205372224 in words is "fifty-seven billion, two hundred five million, three hundred seventy-two thousand, two hundred twenty-four".