57012595632 has 320 divisors, whose sum is σ = 182988288000. Its totient is φ = 16889720832.

The previous prime is 57012595583. The next prime is 57012595637. The reversal of 57012595632 is 23659521075.

57012595632 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 2 + 5 + 9 + 5 + 632 = 666.

57012595632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57012595637) 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, 66837318 + ... + 66838170.

It is an arithmetic number, because the mean of its divisors is an integer number (571838400).

Almost surely, 2^57012595632 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 57012595632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494144000).

57012595632 is an abundant number, since it is smaller than the sum of its proper divisors (125975692368).

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

57012595632 is a wasteful number, since it uses less digits than its factorization.

57012595632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 57012595632 in words is "fifty-seven billion, twelve million, five hundred ninety-five thousand, six hundred thirty-two".