13167398400 has 360 divisors, whose sum is σ = 47124249480. Its totient is φ = 3239608320.

The previous prime is 13167398359. The next prime is 13167398407. The reversal of 13167398400 is 489376131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13167398407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6488586 + ... + 6490614.

It is an arithmetic number, because the mean of its divisors is an integer number (130900693).

Almost surely, 2^13167398400 is an apocalyptic number.

13167398400 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 13167398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23562124740).

13167398400 is an abundant number, since it is smaller than the sum of its proper divisors (33956851080).

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

13167398400 is a wasteful number, since it uses less digits than its factorization.

13167398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13167398400 in words is "thirteen billion, one hundred sixty-seven million, three hundred ninety-eight thousand, four hundred".