13388716800 has 324 divisors, whose sum is σ = 49646327640. Its totient is φ = 3569909760.

The previous prime is 13388716771. The next prime is 13388716811. The reversal of 13388716800 is 861788331.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1550896 + ... + 1559504.

Almost surely, 2^13388716800 is an apocalyptic number.

13388716800 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 13388716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24823163820).

13388716800 is an abundant number, since it is smaller than the sum of its proper divisors (36257610840).

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

13388716800 is an frugal number, since it uses more digits than its factorization.

13388716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13388716800 in words is "thirteen billion, three hundred eighty-eight million, seven hundred sixteen thousand, eight hundred".