1056713655564 has 288 divisors, whose sum is σ = 3203802201600. Its totient is φ = 287304192000.

The previous prime is 1056713655559. The next prime is 1056713655589. The reversal of 1056713655564 is 4655563176501.

1056713655564 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 13 + 65 + 5 + 564 = 666.

It is a super-2 number, since 2×1056713655564² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056713655564.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177924907 + ... + 177930845.

It is an arithmetic number, because the mean of its divisors is an integer number (11124313200).

Almost surely, 2^{1056713655564} is an apocalyptic number.

1056713655564 is a gapful number since it is divisible by the number (14) 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 1056713655564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601901100800).

1056713655564 is an abundant number, since it is smaller than the sum of its proper divisors (2147088546036).

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

1056713655564 is a wasteful number, since it uses less digits than its factorization.

1056713655564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333 (or 6328 counting only the distinct ones).

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

The spelling of 1056713655564 in words is "one trillion, fifty-six billion, seven hundred thirteen million, six hundred fifty-five thousand, five hundred sixty-four".