57534788424960 has 1728 divisors, whose sum is σ = 255225939171840. Its totient is φ = 11618353152000.

The previous prime is 57534788424947. The next prime is 57534788424961. The reversal of 57534788424960 is 6942488743575.

57534788424960 is a `hidden beast` number, since 5 + 7 + 5 + 34 + 7 + 88 + 424 + 96 + 0 = 666.

It is a super-2 number, since 2×57534788424960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57534788424961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9783161220 + ... + 9783167100.

It is an arithmetic number, because the mean of its divisors is an integer number (147700196280).

Almost surely, 2^{57534788424960} 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 57534788424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127612969585920).

57534788424960 is an abundant number, since it is smaller than the sum of its proper divisors (197691150746880).

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

57534788424960 is a wasteful number, since it uses less digits than its factorization.

57534788424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 57534788424960 in words is "fifty-seven trillion, five hundred thirty-four billion, seven hundred eighty-eight million, four hundred twenty-four thousand, nine hundred sixty".