10956855625 has 45 divisors (see below), whose sum is σ = 14133774963. Its totient is φ = 8491236000.

The previous prime is 10956855601. The next prime is 10956855643. The reversal of 10956855625 is 52655865901.

The square root of 10956855625 is 104675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6079788729 + 4877066896 = 77973^2 + 69836^2 .

It is not a de Polignac number, because 10956855625 - 2¹⁵ = 10956822857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 138694336 + ... + 138694414.

Almost surely, 2^10956855625 is an apocalyptic number.

10956855625 is the 104675-th square number.

10956855625 is the 52338-th centered octagonal number.

It is an amenable number.

10956855625 is a deficient number, since it is larger than the sum of its proper divisors (3176919338).

10956855625 is an frugal number, since it uses more digits than its factorization.

10956855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 52.

The spelling of 10956855625 in words is "ten billion, nine hundred fifty-six million, eight hundred fifty-five thousand, six hundred twenty-five".