12568942264320 has 1440 divisors, whose sum is σ = 51540909795648. Its totient is φ = 2910880530432.

The previous prime is 12568942264253. The next prime is 12568942264321. The reversal of 12568942264320 is 2346224986521.

12568942264320 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 8 + 94 + 226 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (12568942264321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4399348332 + ... + 4399351188.

Almost surely, 2^{12568942264320} is an apocalyptic number.

12568942264320 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 12568942264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770454897824).

12568942264320 is an abundant number, since it is smaller than the sum of its proper divisors (38971967531328).

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

12568942264320 is an equidigital number, since it uses as much as digits as its factorization.

12568942264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 12568942264320 in words is "twelve trillion, five hundred sixty-eight billion, nine hundred forty-two million, two hundred sixty-four thousand, three hundred twenty".