12956715158400 has 2880 divisors, whose sum is σ = 55654450030080. Its totient is φ = 2956363038720.

The previous prime is 12956715158381. The next prime is 12956715158419. The reversal of 12956715158400 is 485151765921.

12956715158400 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 6 + 7 + 1 + 51 + 584 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12956715158381) and next prime (12956715158419).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 94574563132 + ... + 94574563268.

It is an arithmetic number, because the mean of its divisors is an integer number (19324461816).

Almost surely, 2^{12956715158400} is an apocalyptic number.

12956715158400 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 12956715158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827225015040).

12956715158400 is an abundant number, since it is smaller than the sum of its proper divisors (42697734871680).

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

12956715158400 is a wasteful number, since it uses less digits than its factorization.

12956715158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 12956715158400 in words is "twelve trillion, nine hundred fifty-six billion, seven hundred fifteen million, one hundred fifty-eight thousand, four hundred".