13913380800 has 1344 divisors, whose sum is σ = 61681766400. Its totient is φ = 3010867200.

The previous prime is 13913380799. The next prime is 13913380829. The reversal of 13913380800 is 808331931.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207662367 + ... + 207662433.

Almost surely, 2^13913380800 is an apocalyptic number.

13913380800 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 13913380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30840883200).

13913380800 is an abundant number, since it is smaller than the sum of its proper divisors (47768385600).

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

13913380800 is a wasteful number, since it uses less digits than its factorization.

13913380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13913380800 in words is "thirteen billion, nine hundred thirteen million, three hundred eighty thousand, eight hundred".