1056875202864 has 320 divisors, whose sum is σ = 3360845308800. Its totient is φ = 315878289408.

The previous prime is 1056875202847. The next prime is 1056875202869. The reversal of 1056875202864 is 4682025786501.

1056875202864 is a `hidden beast` number, since 1 + 0 + 56 + 8 + 7 + 520 + 2 + 8 + 64 = 666.

It is a super-2 number, since 2×1056875202864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1056875202864.

It is not an unprimeable number, because it can be changed into a prime (1056875202869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135684282 + ... + 135692070.

It is an arithmetic number, because the mean of its divisors is an integer number (10502641590).

Almost surely, 2^{1056875202864} 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 1056875202864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680422654400).

1056875202864 is an abundant number, since it is smaller than the sum of its proper divisors (2303970105936).

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

1056875202864 is a wasteful number, since it uses less digits than its factorization.

1056875202864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1056875202864 in words is "one trillion, fifty-six billion, eight hundred seventy-five million, two hundred two thousand, eight hundred sixty-four".