57224724480 has 1140 divisors, whose sum is σ = 260352535608. Its totient is φ = 11890851840.

The previous prime is 57224724451. The next prime is 57224724493. The reversal of 57224724480 is 8442742275.

57224724480 is a `hidden beast` number, since 572 + 2 + 4 + 72 + 4 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×57224724480² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5202247675 + ... + 5202247685.

Almost surely, 2^57224724480 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 57224724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130176267804).

57224724480 is an abundant number, since it is smaller than the sum of its proper divisors (203127811128).

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

57224724480 is an frugal number, since it uses more digits than its factorization.

57224724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 57224724480 in words is "fifty-seven billion, two hundred twenty-four million, seven hundred twenty-four thousand, four hundred eighty".