12802516960 has 96 divisors (see below), whose sum is σ = 30469727232. Its totient is φ = 5083292160.

The previous prime is 12802516897. The next prime is 12802516999. The reversal of 12802516960 is 6961520821.

It is a super-2 number, since 2×12802516960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21809787 + ... + 21810373.

It is an arithmetic number, because the mean of its divisors is an integer number (317392992).

Almost surely, 2^12802516960 is an apocalyptic number.

12802516960 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 12802516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234863616).

12802516960 is an abundant number, since it is smaller than the sum of its proper divisors (17667210272).

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

12802516960 is a wasteful number, since it uses less digits than its factorization.

12802516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 12802516960 in words is "twelve billion, eight hundred two million, five hundred sixteen thousand, nine hundred sixty".