10189662015625 has 21 divisors (see below), whose sum is σ = 12737413267617. Its totient is φ = 8151410400000.

The previous prime is 10189662015593. The next prime is 10189662015653. The reversal of 10189662015625 is 52651026698101.

The square root of 10189662015625 is 3192125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 9933824329209 + 255837686416 = 3151797^2 + 505804^2 .

It is not a de Polignac number, because 10189662015625 - 2⁵ = 10189662015593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 399002857 + ... + 399028393.

Almost surely, 2^{10189662015625} is an apocalyptic number.

10189662015625 is the 3192125-th square number.

10189662015625 is the 1596063-rd centered octagonal number.

It is an amenable number.

10189662015625 is a deficient number, since it is larger than the sum of its proper divisors (2547751251992).

10189662015625 is an frugal number, since it uses more digits than its factorization.

10189662015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51104 (or 25542 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 10189662015625 in words is "ten trillion, one hundred eighty-nine billion, six hundred sixty-two million, fifteen thousand, six hundred twenty-five".