57545931876672 has 112 divisors (see below), whose sum is σ = 156000419072960. Its totient is φ = 18711518773248.

The previous prime is 57545931876617. The next prime is 57545931876683. The reversal of 57545931876672 is 27667813954575.

It is a happy number.

It is a super-2 number, since 2×57545931876672² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57545931876594 and 57545931876603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816878 + ... + 10880850.

It is an arithmetic number, because the mean of its divisors is an integer number (1392860884580).

Almost surely, 2^{57545931876672} 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 57545931876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78000209536480).

57545931876672 is an abundant number, since it is smaller than the sum of its proper divisors (98454487196288).

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

57545931876672 is a wasteful number, since it uses less digits than its factorization.

57545931876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064800 (or 9064790 counting only the distinct ones).

The product of its digits is 2667168000, while the sum is 75.

The spelling of 57545931876672 in words is "fifty-seven trillion, five hundred forty-five billion, nine hundred thirty-one million, eight hundred seventy-six thousand, six hundred seventy-two".