2056825211904 has 704 divisors, whose sum is σ = 6547465420800. Its totient is φ = 636611788800.

The previous prime is 2056825211863. The next prime is 2056825211963. The reversal of 2056825211904 is 4091125286502.

2056825211904 is a `hidden beast` number, since 20 + 568 + 2 + 52 + 1 + 19 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2056825211904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2505267814 + ... + 2505268634.

Almost surely, 2^{2056825211904} is an apocalyptic number.

2056825211904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056825211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273732710400).

2056825211904 is an abundant number, since it is smaller than the sum of its proper divisors (4490640208896).

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

2056825211904 is a wasteful number, since it uses less digits than its factorization.

2056825211904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2056825211904 in words is "two trillion, fifty-six billion, eight hundred twenty-five million, two hundred eleven thousand, nine hundred four".