57534635077920 has 1296 divisors, whose sum is σ = 269795520513792. Its totient is φ = 11035589160960.

The previous prime is 57534635077897. The next prime is 57534635077921. The reversal of 57534635077920 is 2977053643575.

57534635077920 is a `hidden beast` number, since 5 + 7 + 5 + 34 + 6 + 3 + 507 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57534635077921) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130951729 + ... + 131390351.

It is an arithmetic number, because the mean of its divisors is an integer number (208175555952).

Almost surely, 2^{57534635077920} 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 57534635077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134897760256896).

57534635077920 is an abundant number, since it is smaller than the sum of its proper divisors (212260885435872).

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

57534635077920 is a wasteful number, since it uses less digits than its factorization.

57534635077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438695 (or 438664 counting only the distinct ones).

The product of its (nonzero) digits is 166698000, while the sum is 63.

The spelling of 57534635077920 in words is "fifty-seven trillion, five hundred thirty-four billion, six hundred thirty-five million, seventy-seven thousand, nine hundred twenty".