10993972592656 has 135 divisors (see below), whose sum is σ = 22033503259677. Its totient is φ = 5314164347520.

The previous prime is 10993972592653. The next prime is 10993972592663. The reversal of 10993972592656 is 65629527939901.

The square root of 10993972592656 is 3315716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 357503543056 + 10636469049600 = 597916^2 + 3261360^2 .

It is not an unprimeable number, because it can be changed into a prime (10993972592651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86566713265 + ... + 86566713391.

Almost surely, 2^{10993972592656} is an apocalyptic number.

10993972592656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10993972592656 is the 3315716-th square number.

It is an amenable number.

10993972592656 is an abundant number, since it is smaller than the sum of its proper divisors (11039530667021).

10993972592656 is an frugal number, since it uses more digits than its factorization.

10993972592656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 496011600, while the sum is 73.

The spelling of 10993972592656 in words is "ten trillion, nine hundred ninety-three billion, nine hundred seventy-two million, five hundred ninety-two thousand, six hundred fifty-six".