13609694025600 has 768 divisors, whose sum is σ = 50085169344000. Its totient is φ = 3230464737280.

The previous prime is 13609694025523. The next prime is 13609694025611. The reversal of 13609694025600 is 652049690631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334050031 + ... + 334090769.

It is an arithmetic number, because the mean of its divisors is an integer number (65215064250).

Almost surely, 2^{13609694025600} is an apocalyptic number.

13609694025600 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 13609694025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25042584672000).

13609694025600 is an abundant number, since it is smaller than the sum of its proper divisors (36475475318400).

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

13609694025600 is a wasteful number, since it uses less digits than its factorization.

13609694025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40895 (or 40878 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 13609694025600 in words is "thirteen trillion, six hundred nine billion, six hundred ninety-four million, twenty-five thousand, six hundred".