13988563200 has 324 divisors, whose sum is σ = 52191659520. Its totient is φ = 3567759360.

The previous prime is 13988563187. The next prime is 13988563213. The reversal of 13988563200 is 236588931.

It is a happy number.

13988563200 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 5 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13988563187) and next prime (13988563213).

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, 1319521 + ... + 1330079.

Almost surely, 2^13988563200 is an apocalyptic number.

13988563200 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 13988563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095829760).

13988563200 is an abundant number, since it is smaller than the sum of its proper divisors (38203096320).

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

13988563200 is a wasteful number, since it uses less digits than its factorization.

13988563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10614 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13988563200 in words is "thirteen billion, nine hundred eighty-eight million, five hundred sixty-three thousand, two hundred".