12905904960 has 672 divisors, whose sum is σ = 52562345472. Its totient is φ = 2985984000.

The previous prime is 12905904931. The next prime is 12905904961. The reversal of 12905904960 is 6940950921.

12905904960 is a `hidden beast` number, since 12 + 9 + 0 + 590 + 49 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905904961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17184585 + ... + 17185335.

It is an arithmetic number, because the mean of its divisors is an integer number (78217776).

Almost surely, 2^12905904960 is an apocalyptic number.

12905904960 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 12905904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26281172736).

12905904960 is an abundant number, since it is smaller than the sum of its proper divisors (39656440512).

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

12905904960 is a wasteful number, since it uses less digits than its factorization.

12905904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12905904960 in words is "twelve billion, nine hundred five million, nine hundred four thousand, nine hundred sixty".