13253008896 has 360 divisors, whose sum is σ = 41832483264. Its totient is φ = 4034396160.

The previous prime is 13253008861. The next prime is 13253008897. The reversal of 13253008896 is 69880035231.

It is a happy number.

13253008896 is a `hidden beast` number, since 1 + 32 + 530 + 0 + 8 + 89 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253008897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51568000 + ... + 51568256.

Almost surely, 2^13253008896 is an apocalyptic number.

13253008896 is a gapful number since it is divisible by the number (16) 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 13253008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916241632).

13253008896 is an abundant number, since it is smaller than the sum of its proper divisors (28579474368).

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

13253008896 is a wasteful number, since it uses less digits than its factorization.

13253008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13253008896 in words is "thirteen billion, two hundred fifty-three million, eight thousand, eight hundred ninety-six".