13990579200 has 792 divisors, whose sum is σ = 56267575728. Its totient is φ = 3423928320.

The previous prime is 13990579193. The next prime is 13990579261. The reversal of 13990579200 is 297509931.

It is a happy number.

13990579200 is a `hidden beast` number, since 1 + 399 + 0 + 57 + 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 71 ways as a sum of consecutive naturals, for example, 80870314 + ... + 80870486.

Almost surely, 2^13990579200 is an apocalyptic number.

13990579200 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 13990579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133787864).

13990579200 is an abundant number, since it is smaller than the sum of its proper divisors (42276996528).

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

13990579200 is a wasteful number, since it uses less digits than its factorization.

13990579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 13990579200 in words is "thirteen billion, nine hundred ninety million, five hundred seventy-nine thousand, two hundred".