10516912704 has 63 divisors (see below), whose sum is σ = 30151887753. Its totient is φ = 3504817152.

The previous prime is 10516912687. The next prime is 10516912709. The reversal of 10516912704 is 40721961501.

The square root of 10516912704 is 102552.

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

10516912704 is a `hidden beast` number, since 10 + 516 + 9 + 127 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2851560000 + 7665352704 = 53400^2 + 87552^2 .

It is a super-2 number, since 2×10516912704² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10516912709) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2459112 + ... + 2463384.

Almost surely, 2^10516912704 is an apocalyptic number.

10516912704 is the 102552-nd square number.

It is an amenable number.

10516912704 is an abundant number, since it is smaller than the sum of its proper divisors (19634975049).

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

10516912704 is an frugal number, since it uses more digits than its factorization.

10516912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 10516912704 by its sum of digits (36), we get a square (378608857344 = 615312²).

10516912704 divided by its sum of digits (36) gives a square (292136464 = 17092²).

The spelling of 10516912704 in words is "ten billion, five hundred sixteen million, nine hundred twelve thousand, seven hundred four".