12960784800 has 216 divisors, whose sum is σ = 46766944224. Its totient is φ = 3375751680.

The previous prime is 12960784769. The next prime is 12960784831. The reversal of 12960784800 is 848706921.

12960784800 is a `hidden beast` number, since 12 + 96 + 0 + 78 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12960784769) and next prime (12960784831).

It is a super-2 number, since 2×12960784800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288669 + ... + 330531.

Almost surely, 2^12960784800 is an apocalyptic number.

12960784800 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 12960784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23383472112).

12960784800 is an abundant number, since it is smaller than the sum of its proper divisors (33806159424).

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

12960784800 is a wasteful number, since it uses less digits than its factorization.

12960784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41932 (or 41916 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12960784800 in words is "twelve billion, nine hundred sixty million, seven hundred eighty-four thousand, eight hundred".