57155062136832 has 816 divisors, whose sum is σ = 187453885469760. Its totient is φ = 17258722099200.

The previous prime is 57155062136831. The next prime is 57155062136917. The reversal of 57155062136832 is 23863126055175.

57155062136832 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 5 + 0 + 621 + 3 + 6 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×57155062136832² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57155062136831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89165463232 + ... + 89165463872.

It is an arithmetic number, because the mean of its divisors is an integer number (229722898860).

Almost surely, 2^{57155062136832} 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 57155062136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93726942734880).

57155062136832 is an abundant number, since it is smaller than the sum of its proper divisors (130298823332928).

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

57155062136832 is an frugal number, since it uses more digits than its factorization.

57155062136832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 57155062136832 in words is "fifty-seven trillion, one hundred fifty-five billion, sixty-two million, one hundred thirty-six thousand, eight hundred thirty-two".