57020710440960 has 4160 divisors, whose sum is σ = 257800245018624. Its totient is φ = 11771943321600.

The previous prime is 57020710440959. The next prime is 57020710441033. The reversal of 57020710440960 is 6904401702075.

57020710440960 is a `hidden beast` number, since 57 + 0 + 2 + 0 + 71 + 0 + 440 + 96 + 0 = 666.

It is a super-2 number, since 2×57020710440960² (a number of 28 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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 587842375632 + ... + 587842375728.

Almost surely, 2^{57020710440960} 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 57020710440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128900122509312).

57020710440960 is an abundant number, since it is smaller than the sum of its proper divisors (200779534577664).

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

57020710440960 is a wasteful number, since it uses less digits than its factorization.

57020710440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57020710440960 in words is "fifty-seven trillion, twenty billion, seven hundred ten million, four hundred forty thousand, nine hundred sixty".