57660621323688 has 320 divisors, whose sum is σ = 170408365824000. Its totient is φ = 18065242321056.

The previous prime is 57660621323651. The next prime is 57660621323719. The reversal of 57660621323688 is 88632312606675.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57660621323688 is a `hidden beast` number, since 5 + 7 + 6 + 606 + 2 + 13 + 2 + 3 + 6 + 8 + 8 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 57660621323688 = 4826³ + 38608³ = 21717³ + 36195³.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 454020640281 + ... + 454020640407.

It is an arithmetic number, because the mean of its divisors is an integer number (532526143200).

Almost surely, 2^{57660621323688} 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 57660621323688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85204182912000).

57660621323688 is an abundant number, since it is smaller than the sum of its proper divisors (112747744500312).

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

57660621323688 is an frugal number, since it uses more digits than its factorization.

57660621323688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 57660621323688 in words is "fifty-seven trillion, six hundred sixty billion, six hundred twenty-one million, three hundred twenty-three thousand, six hundred eighty-eight".