12907006560 has 480 divisors, whose sum is σ = 55127096640. Its totient is φ = 2776301568.

The previous prime is 12907006559. The next prime is 12907006573. The reversal of 12907006560 is 6560070921.

12907006560 is a `hidden beast` number, since 1 + 2 + 90 + 7 + 0 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538056 + ... + 1546424.

It is an arithmetic number, because the mean of its divisors is an integer number (114848118).

Almost surely, 2^12907006560 is an apocalyptic number.

12907006560 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 12907006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27563548320).

12907006560 is an abundant number, since it is smaller than the sum of its proper divisors (42220090080).

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

12907006560 is a wasteful number, since it uses less digits than its factorization.

12907006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12907006560 in words is "twelve billion, nine hundred seven million, six thousand, five hundred sixty".