13605172056400 has 60 divisors (see below), whose sum is σ = 32772670098400. Its totient is φ = 5427709741440.

The previous prime is 13605172056361. The next prime is 13605172056403. The reversal of 13605172056400 is 465027150631.

13605172056400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605172056403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44720340 + ... + 45023539.

Almost surely, 2^{13605172056400} is an apocalyptic number.

13605172056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13605172056400 is an abundant number, since it is smaller than the sum of its proper divisors (19167498042000).

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

13605172056400 is a wasteful number, since it uses less digits than its factorization.

13605172056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89744276 (or 89744265 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 13605172056400 in words is "thirteen trillion, six hundred five billion, one hundred seventy-two million, fifty-six thousand, four hundred".