13197392400 has 480 divisors, whose sum is σ = 47825510400. Its totient is φ = 3091046400.

The previous prime is 13197392399. The next prime is 13197392407. The reversal of 13197392400 is 429379131.

It is not an unprimeable number, because it can be changed into a prime (13197392407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30620185 + ... + 30620615.

It is an arithmetic number, because the mean of its divisors is an integer number (99636480).

Almost surely, 2^13197392400 is an apocalyptic number.

13197392400 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 13197392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912755200).

13197392400 is an abundant number, since it is smaller than the sum of its proper divisors (34628118000).

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

13197392400 is a wasteful number, since it uses less digits than its factorization.

13197392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 13197392400 in words is "thirteen billion, one hundred ninety-seven million, three hundred ninety-two thousand, four hundred".