57561106032 has 160 divisors (see below), whose sum is σ = 177967656960. Its totient is φ = 17760695040.

The previous prime is 57561106027. The next prime is 57561106033. The reversal of 57561106032 is 23060116575.

57561106032 is a `hidden beast` number, since 5 + 7 + 5 + 611 + 0 + 6 + 0 + 32 = 666.

57561106032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57561106033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214578 + ... + 401454.

It is an arithmetic number, because the mean of its divisors is an integer number (1112297856).

Almost surely, 2^57561106032 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 57561106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88983828480).

57561106032 is an abundant number, since it is smaller than the sum of its proper divisors (120406550928).

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

57561106032 is a wasteful number, since it uses less digits than its factorization.

57561106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186948 (or 186936 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 57561106032 in words is "fifty-seven billion, five hundred sixty-one million, one hundred six thousand, thirty-two".