12641951520 has 288 divisors, whose sum is σ = 47190911040. Its totient is φ = 3056363520.

The previous prime is 12641951503. The next prime is 12641951573. The reversal of 12641951520 is 2515914621.

12641951520 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 95 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7396426 + ... + 7398134.

It is an arithmetic number, because the mean of its divisors is an integer number (163857330).

Almost surely, 2^12641951520 is an apocalyptic number.

12641951520 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 12641951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23595455520).

12641951520 is an abundant number, since it is smaller than the sum of its proper divisors (34548959520).

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

12641951520 is a wasteful number, since it uses less digits than its factorization.

12641951520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 12641951520 in words is "twelve billion, six hundred forty-one million, nine hundred fifty-one thousand, five hundred twenty".