57661745832 has 256 divisors, whose sum is σ = 173062656000. Its totient is φ = 17731229184.

The previous prime is 57661745809. The next prime is 57661745833. The reversal of 57661745832 is 23854716675.

57661745832 is a `hidden beast` number, since 57 + 6 + 6 + 1 + 7 + 4 + 583 + 2 = 666.

57661745832 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 (54).

It is not an unprimeable number, because it can be changed into a prime (57661745833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44942263 + ... + 44943545.

It is an arithmetic number, because the mean of its divisors is an integer number (676026000).

Almost surely, 2^57661745832 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 57661745832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86531328000).

57661745832 is an abundant number, since it is smaller than the sum of its proper divisors (115400910168).

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

57661745832 is a wasteful number, since it uses less digits than its factorization.

57661745832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1587 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 57661745832 in words is "fifty-seven billion, six hundred sixty-one million, seven hundred forty-five thousand, eight hundred thirty-two".