13600872576000 has 2112 divisors, whose sum is σ = 53801055360000. Its totient is φ = 3290981990400.

The previous prime is 13600872575981. The next prime is 13600872576047. The reversal of 13600872576000 is 67527800631.

13600872576000 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 8 + 72 + 576 + 0 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 91281023926 + ... + 91281024074.

Almost surely, 2^{13600872576000} is an apocalyptic number.

13600872576000 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 13600872576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26900527680000).

13600872576000 is an abundant number, since it is smaller than the sum of its proper divisors (40200182784000).

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

13600872576000 is a wasteful number, since it uses less digits than its factorization.

13600872576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13600872576000 in words is "thirteen trillion, six hundred billion, eight hundred seventy-two million, five hundred seventy-six thousand".