13199400576 has 512 divisors, whose sum is σ = 43711488000. Its totient is φ = 3901685760.

The previous prime is 13199400541. The next prime is 13199400589. The reversal of 13199400576 is 67500499131.

13199400576 is a `hidden beast` number, since 1 + 3 + 199 + 400 + 57 + 6 = 666.

13199400576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103932225 + ... + 103932351.

It is an arithmetic number, because the mean of its divisors is an integer number (85374000).

Almost surely, 2^13199400576 is an apocalyptic number.

13199400576 is a gapful number since it is divisible by the number (16) 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 13199400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855744000).

13199400576 is an abundant number, since it is smaller than the sum of its proper divisors (30512087424).

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

13199400576 is a wasteful number, since it uses less digits than its factorization.

13199400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13199400576 in words is "thirteen billion, one hundred ninety-nine million, four hundred thousand, five hundred seventy-six".