10080963216 has 75 divisors (see below), whose sum is σ = 29187697561. Its totient is φ = 3359116224.

The previous prime is 10080963173. The next prime is 10080963223. The reversal of 10080963216 is 61236908001.

The square root of 10080963216 is 100404.

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

10080963216 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 9 + 632 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6335523216 + 3745440000 = 79596^2 + 61200^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3613150 + ... + 3615938.

Almost surely, 2^10080963216 is an apocalyptic number.

10080963216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10080963216 is the 100404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080963216

10080963216 is an abundant number, since it is smaller than the sum of its proper divisors (19106734345).

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

10080963216 is an frugal number, since it uses more digits than its factorization.

10080963216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 10080963216 by its sum of digits (36), we get a square (362914675776 = 602424²).

10080963216 divided by its sum of digits (36) gives a square (280026756 = 16734²).

It can be divided in two parts, 100809 and 63216, that added together give a square (164025 = 405²).

The spelling of 10080963216 in words is "ten billion, eighty million, nine hundred sixty-three thousand, two hundred sixteen".