13256640000 has 300 divisors, whose sum is σ = 47819533476. Its totient is φ = 3534336000.

The previous prime is 13256639923. The next prime is 13256640017. The reversal of 13256640000 is 4665231.

13256640000 is a `hidden beast` number, since 1 + 3 + 256 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2877699 + ... + 2882301.

Almost surely, 2^13256640000 is an apocalyptic number.

13256640000 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 13256640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909766738).

13256640000 is an abundant number, since it is smaller than the sum of its proper divisors (34562893476).

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

13256640000 is an frugal number, since it uses more digits than its factorization.

13256640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13256640000 in words is "thirteen billion, two hundred fifty-six million, six hundred forty thousand".