12815400960 has 256 divisors, whose sum is σ = 45580903200. Its totient is φ = 3416260608.

The previous prime is 12815400959. The next prime is 12815400973. The reversal of 12815400960 is 6900451821.

12815400960 is a `hidden beast` number, since 1 + 28 + 1 + 540 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 4422232 + ... + 4425128.

Almost surely, 2^12815400960 is an apocalyptic number.

12815400960 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 12815400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790451600).

12815400960 is an abundant number, since it is smaller than the sum of its proper divisors (32765502240).

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

12815400960 is an frugal number, since it uses more digits than its factorization.

12815400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12815400960 in words is "twelve billion, eight hundred fifteen million, four hundred thousand, nine hundred sixty".