10888125680656 has 135 divisors (see below), whose sum is σ = 24709147736637. Its totient is φ = 4634385127680.

The previous prime is 10888125680611. The next prime is 10888125680657. The reversal of 10888125680656 is 65608652188801.

The square root of 10888125680656 is 3299716.

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., 315327171600 + 10572798509056 = 561540^2 + 3251584^2 .

It is not an unprimeable number, because it can be changed into a prime (10888125680657) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17646880860 + ... + 17646881476.

Almost surely, 2^{10888125680656} is an apocalyptic number.

10888125680656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10888125680656 is the 3299716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10888125680656

10888125680656 is an abundant number, since it is smaller than the sum of its proper divisors (13821022055981).

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

10888125680656 is an frugal number, since it uses more digits than its factorization.

10888125680656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 64.

Multiplying 10888125680656 by its sum of digits (64), we get a square (696840043561984 = 26397728²).

The spelling of 10888125680656 in words is "ten trillion, eight hundred eighty-eight billion, one hundred twenty-five million, six hundred eighty thousand, six hundred fifty-six".