12892960080 has 1280 divisors, whose sum is σ = 61196083200. Its totient is φ = 2408693760.

The previous prime is 12892960079. The next prime is 12892960103. The reversal of 12892960080 is 8006929821.

12892960080 is a `hidden beast` number, since 1 + 289 + 296 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144864676 + ... + 144864764.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 2^12892960080 is an apocalyptic number.

12892960080 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 12892960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

12892960080 is an abundant number, since it is smaller than the sum of its proper divisors (48303123120).

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

12892960080 is a wasteful number, since it uses less digits than its factorization.

12892960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12892960080 in words is "twelve billion, eight hundred ninety-two million, nine hundred sixty thousand, eighty".