13080268800 has 780 divisors, whose sum is σ = 51617060880. Its totient is φ = 3264675840.

The previous prime is 13080268787. The next prime is 13080268807. The reversal of 13080268800 is 886208031.

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

It is not an unprimeable number, because it can be changed into a prime (13080268807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157593559 + ... + 157593641.

Almost surely, 2^13080268800 is an apocalyptic number.

13080268800 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 13080268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808530440).

13080268800 is an abundant number, since it is smaller than the sum of its proper divisors (38536792080).

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

13080268800 is an equidigital number, since it uses as much as digits as its factorization.

13080268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13080268800 in words is "thirteen billion, eighty million, two hundred sixty-eight thousand, eight hundred".