2557696352256 has 168 divisors, whose sum is σ = 7662101835024. Its totient is φ = 852564787200.

The previous prime is 2557696352227. The next prime is 2557696352327. The reversal of 2557696352256 is 6522536967552.

2557696352256 is a `hidden beast` number, since 2 + 5 + 57 + 6 + 9 + 6 + 3 + 522 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2557696352193 and 2557696352202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348231 + ... + 2633081.

It is an arithmetic number, because the mean of its divisors is an integer number (45607749018).

Almost surely, 2^{2557696352256} 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 2557696352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831050917512).

2557696352256 is an abundant number, since it is smaller than the sum of its proper divisors (5104405482768).

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

2557696352256 is an frugal number, since it uses more digits than its factorization.

2557696352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284892 (or 1284856 counting only the distinct ones).

The product of its digits is 204120000, while the sum is 63.

The spelling of 2557696352256 in words is "two trillion, five hundred fifty-seven billion, six hundred ninety-six million, three hundred fifty-two thousand, two hundred fifty-six".