13099542400 has 288 divisors, whose sum is σ = 39633456600. Its totient is φ = 4253921280.

The previous prime is 13099542397. The next prime is 13099542481. The reversal of 13099542400 is 424599031.

It is a super-2 number, since 2×13099542400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13099542400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2977002 + ... + 2981398.

Almost surely, 2^13099542400 is an apocalyptic number.

13099542400 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 13099542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19816728300).

13099542400 is an abundant number, since it is smaller than the sum of its proper divisors (26533914200).

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

13099542400 is a wasteful number, since it uses less digits than its factorization.

13099542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 13099542400 in words is "thirteen billion, ninety-nine million, five hundred forty-two thousand, four hundred".