13391239200 has 288 divisors, whose sum is σ = 44349161472. Its totient is φ = 3509376000.

The previous prime is 13391239189. The next prime is 13391239219. The reversal of 13391239200 is 293219331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 60050289 + ... + 60050511.

It is an arithmetic number, because the mean of its divisors is an integer number (153990144).

Almost surely, 2^13391239200 is an apocalyptic number.

13391239200 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 13391239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22174580736).

13391239200 is an abundant number, since it is smaller than the sum of its proper divisors (30957922272).

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

13391239200 is a wasteful number, since it uses less digits than its factorization.

13391239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 13391239200 in words is "thirteen billion, three hundred ninety-one million, two hundred thirty-nine thousand, two hundred".