57612725712 has 160 divisors (see below), whose sum is σ = 170348680320. Its totient is φ = 18631296000.

The previous prime is 57612725683. The next prime is 57612725717. The reversal of 57612725712 is 21752721675.

57612725712 is a `hidden beast` number, since 5 + 7 + 6 + 1 + 2 + 72 + 571 + 2 = 666.

It is a super-2 number, since 2×57612725712² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57612725717) 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, 3196887 + ... + 3214857.

It is an arithmetic number, because the mean of its divisors is an integer number (1064679252).

Almost surely, 2^57612725712 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 57612725712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85174340160).

57612725712 is an abundant number, since it is smaller than the sum of its proper divisors (112735954608).

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

57612725712 is a wasteful number, since it uses less digits than its factorization.

57612725712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18210 (or 18198 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The spelling of 57612725712 in words is "fifty-seven billion, six hundred twelve million, seven hundred twenty-five thousand, seven hundred twelve".