13575988800000 has 2400 divisors, whose sum is σ = 56395019862720. Its totient is φ = 3223756800000.

The previous prime is 13575988799977. The next prime is 13575988800013. The reversal of 13575988800000 is 888957531.

13575988800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13575988800000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126878399947 + ... + 126878400053.

Almost surely, 2^{13575988800000} is an apocalyptic number.

13575988800000 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 13575988800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28197509931360).

13575988800000 is an abundant number, since it is smaller than the sum of its proper divisors (42819031062720).

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

13575988800000 is an frugal number, since it uses more digits than its factorization.

13575988800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 13575988800000 in words is "thirteen trillion, five hundred seventy-five billion, nine hundred eighty-eight million, eight hundred thousand".