12759961600 has 117 divisors (see below), whose sum is σ = 31730729923. Its totient is φ = 5089525760.

The previous prime is 12759961573. The next prime is 12759961619. The reversal of 12759961600 is 616995721.

The square root of 12759961600 is 112960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 698650624 + 12061310976 = 26432^2 + 109824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36147024 + ... + 36147376.

Almost surely, 2^12759961600 is an apocalyptic number.

12759961600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12759961600 is the 112960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12759961600

12759961600 is an abundant number, since it is smaller than the sum of its proper divisors (18970768323).

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

12759961600 is an frugal number, since it uses more digits than its factorization.

12759961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 12759961600 in words is "twelve billion, seven hundred fifty-nine million, nine hundred sixty-one thousand, six hundred".