13104172390400 has 1296 divisors, whose sum is σ = 42288478989120. Its totient is φ = 4009446604800.

The previous prime is 13104172390373. The next prime is 13104172390423. The reversal of 13104172390400 is 409327140131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13143602702 + ... + 13143603698.

It is an arithmetic number, because the mean of its divisors is an integer number (32629999220).

Almost surely, 2^{13104172390400} is an apocalyptic number.

13104172390400 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 13104172390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144239494560).

13104172390400 is an abundant number, since it is smaller than the sum of its proper divisors (29184306598720).

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

13104172390400 is a wasteful number, since it uses less digits than its factorization.

13104172390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 13104172390400 in words is "thirteen trillion, one hundred four billion, one hundred seventy-two million, three hundred ninety thousand, four hundred".