12641660928000 has 1536 divisors, whose sum is σ = 50952579612480. Its totient is φ = 3108608409600.

The previous prime is 12641660927971. The next prime is 12641660928011. The reversal of 12641660928000 is 82906614621.

12641660928000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 16 + 609 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 12939263512 + ... + 12939264488.

Almost surely, 2^{12641660928000} is an apocalyptic number.

12641660928000 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 12641660928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25476289806240).

12641660928000 is an abundant number, since it is smaller than the sum of its proper divisors (38310918684480).

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

12641660928000 is an frugal number, since it uses more digits than its factorization.

12641660928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12641660928000 in words is "twelve trillion, six hundred forty-one billion, six hundred sixty million, nine hundred twenty-eight thousand".