12870604800 has 864 divisors, whose sum is σ = 51330464640. Its totient is φ = 3067084800.

The previous prime is 12870604763. The next prime is 12870604819. The reversal of 12870604800 is 840607821.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242841574 + ... + 242841626.

It is an arithmetic number, because the mean of its divisors is an integer number (59410260).

Almost surely, 2^12870604800 is an apocalyptic number.

12870604800 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 12870604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25665232320).

12870604800 is an abundant number, since it is smaller than the sum of its proper divisors (38459859840).

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

12870604800 is a wasteful number, since it uses less digits than its factorization.

12870604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12870604800 in words is "twelve billion, eight hundred seventy million, six hundred four thousand, eight hundred".