57678735605760 has 1216 divisors, whose sum is σ = 217251111052800. Its totient is φ = 14494155669504.

The previous prime is 57678735605671. The next prime is 57678735605807. The reversal of 57678735605760 is 6750653787675.

57678735605760 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 8 + 7 + 3 + 5 + 605 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44130631027 + ... + 44130632333.

Almost surely, 2^{57678735605760} 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 57678735605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108625555526400).

57678735605760 is an abundant number, since it is smaller than the sum of its proper divisors (159572375447040).

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

57678735605760 is an equidigital number, since it uses as much as digits as its factorization.

57678735605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 1555848000, while the sum is 72.

The spelling of 57678735605760 in words is "fifty-seven trillion, six hundred seventy-eight billion, seven hundred thirty-five million, six hundred five thousand, seven hundred sixty".