12504070656 has 640 divisors, whose sum is σ = 48931153920. Its totient is φ = 3052339200.

The previous prime is 12504070619. The next prime is 12504070661. The reversal of 12504070656 is 65607040521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12504070656.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18095271 + ... + 18095961.

It is an arithmetic number, because the mean of its divisors is an integer number (76454928).

Almost surely, 2^12504070656 is an apocalyptic number.

12504070656 is a gapful number since it is divisible by the number (16) 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 12504070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24465576960).

12504070656 is an abundant number, since it is smaller than the sum of its proper divisors (36427083264).

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

12504070656 is a wasteful number, since it uses less digits than its factorization.

12504070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12504070656 in words is "twelve billion, five hundred four million, seventy thousand, six hundred fifty-six".