2056517056656 has 960 divisors, whose sum is σ = 6986124288000. Its totient is φ = 559473868800.

The previous prime is 2056517056613. The next prime is 2056517056661. The reversal of 2056517056656 is 6566507156502.

2056517056656 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 5 + 1 + 70 + 566 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4684548885 + ... + 4684549323.

It is an arithmetic number, because the mean of its divisors is an integer number (7277212800).

Almost surely, 2^{2056517056656} 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 2056517056656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493062144000).

2056517056656 is an abundant number, since it is smaller than the sum of its proper divisors (4929607231344).

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

2056517056656 is a wasteful number, since it uses less digits than its factorization.

2056517056656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 2056517056656 in words is "two trillion, fifty-six billion, five hundred seventeen million, fifty-six thousand, six hundred fifty-six".