13996087200 has 360 divisors, whose sum is σ = 52238406528. Its totient is φ = 3644766720.

The previous prime is 13996087187. The next prime is 13996087207. The reversal of 13996087200 is 278069931.

13996087200 is a `hidden beast` number, since 1 + 39 + 9 + 608 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (13996087207) 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, 2783889 + ... + 2788911.

Almost surely, 2^13996087200 is an apocalyptic number.

13996087200 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 13996087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26119203264).

13996087200 is an abundant number, since it is smaller than the sum of its proper divisors (38242319328).

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

13996087200 is a wasteful number, since it uses less digits than its factorization.

13996087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13996087200 in words is "thirteen billion, nine hundred ninety-six million, eighty-seven thousand, two hundred".