13797104025600 has 2280 divisors, whose sum is σ = 60413968496640. Its totient is φ = 3047455457280.

The previous prime is 13797104025559. The next prime is 13797104025613. The reversal of 13797104025600 is 652040179731.

13797104025600 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 7 + 10 + 4 + 0 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 174646886361 + ... + 174646886439.

Almost surely, 2^{13797104025600} is an apocalyptic number.

13797104025600 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 13797104025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30206984248320).

13797104025600 is an abundant number, since it is smaller than the sum of its proper divisors (46616864471040).

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

13797104025600 is an frugal number, since it uses more digits than its factorization.

13797104025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13797104025600 in words is "thirteen trillion, seven hundred ninety-seven billion, one hundred four million, twenty-five thousand, six hundred".