13581979200 has 252 divisors, whose sum is σ = 48374643408. Its totient is φ = 3614284800.

The previous prime is 13581979199. The next prime is 13581979273. The reversal of 13581979200 is 297918531.

13581979200 is a `hidden beast` number, since 1 + 358 + 1 + 97 + 9 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11677819 + ... + 11678981.

Almost surely, 2^13581979200 is an apocalyptic number.

13581979200 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 13581979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24187321704).

13581979200 is an abundant number, since it is smaller than the sum of its proper divisors (34792664208).

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

13581979200 is a wasteful number, since it uses less digits than its factorization.

13581979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 13581979200 in words is "thirteen billion, five hundred eighty-one million, nine hundred seventy-nine thousand, two hundred".