12568787280 has 640 divisors, whose sum is σ = 52939468800. Its totient is φ = 2676934656.

The previous prime is 12568787251. The next prime is 12568787303. The reversal of 12568787280 is 8278786521.

12568787280 is a `hidden beast` number, since 1 + 2 + 568 + 7 + 8 + 72 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19247434 + ... + 19248086.

It is an arithmetic number, because the mean of its divisors is an integer number (82717920).

Almost surely, 2^12568787280 is an apocalyptic number.

12568787280 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 12568787280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26469734400).

12568787280 is an abundant number, since it is smaller than the sum of its proper divisors (40370681520).

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

12568787280 is a wasteful number, since it uses less digits than its factorization.

12568787280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 12568787280 in words is "twelve billion, five hundred sixty-eight million, seven hundred eighty-seven thousand, two hundred eighty".