12794832960 has 672 divisors, whose sum is σ = 51876179712. Its totient is φ = 2655313920.

The previous prime is 12794832949. The next prime is 12794833049. The reversal of 12794832960 is 6923849721.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209751330 + ... + 209751390.

It is an arithmetic number, because the mean of its divisors is an integer number (77196696).

Almost surely, 2^12794832960 is an apocalyptic number.

12794832960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938089856).

12794832960 is an abundant number, since it is smaller than the sum of its proper divisors (39081346752).

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

12794832960 is an frugal number, since it uses more digits than its factorization.

12794832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 12794832960 in words is "twelve billion, seven hundred ninety-four million, eight hundred thirty-two thousand, nine hundred sixty".