12506466960 has 320 divisors, whose sum is σ = 46744508160. Its totient is φ = 3055104000.

The previous prime is 12506466937. The next prime is 12506466979. The reversal of 12506466960 is 6966460521.

12506466960 is a `hidden beast` number, since 12 + 506 + 46 + 6 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3845335 + ... + 3848585.

It is an arithmetic number, because the mean of its divisors is an integer number (146076588).

Almost surely, 2^12506466960 is an apocalyptic number.

12506466960 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 12506466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23372254080).

12506466960 is an abundant number, since it is smaller than the sum of its proper divisors (34238041200).

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

12506466960 is a wasteful number, since it uses less digits than its factorization.

12506466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12506466960 in words is "twelve billion, five hundred six million, four hundred sixty-six thousand, nine hundred sixty".