13972186800 has 960 divisors, whose sum is σ = 59671180800. Its totient is φ = 3060633600.

The previous prime is 13972186759. The next prime is 13972186829. The reversal of 13972186800 is 868127931.

13972186800 is a `hidden beast` number, since 1 + 397 + 2 + 186 + 80 + 0 = 666.

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

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, 128185146 + ... + 128185254.

It is an arithmetic number, because the mean of its divisors is an integer number (62157480).

Almost surely, 2^13972186800 is an apocalyptic number.

13972186800 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 13972186800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835590400).

13972186800 is an abundant number, since it is smaller than the sum of its proper divisors (45698994000).

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

13972186800 is a wasteful number, since it uses less digits than its factorization.

13972186800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 13972186800 in words is "thirteen billion, nine hundred seventy-two million, one hundred eighty-six thousand, eight hundred".