57668522586660 has 288 divisors, whose sum is σ = 178153207596000. Its totient is φ = 15097270763520.

The previous prime is 57668522586659. The next prime is 57668522586691. The reversal of 57668522586660 is 6668522586675.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 27411570187236 + 30256952399424 = 5235606^2 + 5500632^2 .

It is a super-2 number, since 2×57668522586660² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10887013132 + ... + 10887018428.

It is an arithmetic number, because the mean of its divisors is an integer number (618587526375).

Almost surely, 2^{57668522586660} 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 57668522586660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89076603798000).

57668522586660 is an abundant number, since it is smaller than the sum of its proper divisors (120484685009340).

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

57668522586660 is a wasteful number, since it uses less digits than its factorization.

57668522586660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10106 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 57668522586660 in words is "fifty-seven trillion, six hundred sixty-eight billion, five hundred twenty-two million, five hundred eighty-six thousand, six hundred sixty".