12807960000 has 560 divisors, whose sum is σ = 47838286848. Its totient is φ = 2995200000.

The previous prime is 12807959981. The next prime is 12807960017. The reversal of 12807960000 is 6970821.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40919844 + ... + 40920156.

Almost surely, 2^12807960000 is an apocalyptic number.

12807960000 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 12807960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919143424).

12807960000 is an abundant number, since it is smaller than the sum of its proper divisors (35030326848).

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

12807960000 is a wasteful number, since it uses less digits than its factorization.

12807960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 12807960000 in words is "twelve billion, eight hundred seven million, nine hundred sixty thousand".