57670208081856 has 168 divisors, whose sum is σ = 167097280581504. Its totient is φ = 19014753484800.

The previous prime is 57670208081831. The next prime is 57670208081881. The reversal of 57670208081856 is 65818080207675.

57670208081856 is a `hidden beast` number, since 576 + 7 + 0 + 2 + 0 + 8 + 0 + 8 + 1 + 8 + 56 = 666.

57670208081856 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57670208081831) and next prime (57670208081881).

It is a junction number, because it is equal to n+sod(n) for n = 57670208081793 and 57670208081802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101571556 + ... + 102137756.

It is an arithmetic number, because the mean of its divisors is an integer number (994626670128).

Almost surely, 2^{57670208081856} 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 57670208081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83548640290752).

57670208081856 is an abundant number, since it is smaller than the sum of its proper divisors (109427072499648).

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

57670208081856 is a wasteful number, since it uses less digits than its factorization.

57670208081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568139 (or 568126 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 57670208081856 in words is "fifty-seven trillion, six hundred seventy billion, two hundred eight million, eighty-one thousand, eight hundred fifty-six".