57452974560 has 288 divisors, whose sum is σ = 204670851840. Its totient is φ = 14658969600.

The previous prime is 57452974559. The next prime is 57452974613. The reversal of 57452974560 is 6547925475.

It is a happy number.

57452974560 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 2 + 9 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 57452974497 and 57452974506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3965730 + ... + 3980190.

It is an arithmetic number, because the mean of its divisors is an integer number (710662680).

Almost surely, 2^57452974560 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 57452974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102335425920).

57452974560 is an abundant number, since it is smaller than the sum of its proper divisors (147217877280).

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

57452974560 is a wasteful number, since it uses less digits than its factorization.

57452974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 57452974560 in words is "fifty-seven billion, four hundred fifty-two million, nine hundred seventy-four thousand, five hundred sixty".