13266652800 has 192 divisors, whose sum is σ = 43775992800. Its totient is φ = 3531386880.

The previous prime is 13266652757. The next prime is 13266652801. The reversal of 13266652800 is 825666231.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (13266652801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7957567 + ... + 7959233.

Almost surely, 2^13266652800 is an apocalyptic number.

13266652800 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 13266652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21887996400).

13266652800 is an abundant number, since it is smaller than the sum of its proper divisors (30509340000).

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

13266652800 is a wasteful number, since it uses less digits than its factorization.

13266652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13266652800 in words is "thirteen billion, two hundred sixty-six million, six hundred fifty-two thousand, eight hundred".