57299542560 has 480 divisors, whose sum is σ = 218839864320. Its totient is φ = 14035617792.

The previous prime is 57299542507. The next prime is 57299542591. The reversal of 57299542560 is 6524599275.

57299542560 is a `hidden beast` number, since 5 + 7 + 2 + 99 + 542 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 57299542497 and 57299542506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40266009 + ... + 40267431.

It is an arithmetic number, because the mean of its divisors is an integer number (455916384).

Almost surely, 2^57299542560 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 57299542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109419932160).

57299542560 is an abundant number, since it is smaller than the sum of its proper divisors (161540321760).

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

57299542560 is a wasteful number, since it uses less digits than its factorization.

57299542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 57299542560 in words is "fifty-seven billion, two hundred ninety-nine million, five hundred forty-two thousand, five hundred sixty".