13389248836800 has 2016 divisors, whose sum is σ = 53544006297600. Its totient is φ = 3159171072000.

The previous prime is 13389248836763. The next prime is 13389248836849. The reversal of 13389248836800 is 863884298331.

13389248836800 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 92 + 488 + 3 + 68 + 0 + 0 = 666.

13389248836800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48336638262 + ... + 48336638538.

Almost surely, 2^{13389248836800} is an apocalyptic number.

13389248836800 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 13389248836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772003148800).

13389248836800 is an abundant number, since it is smaller than the sum of its proper divisors (40154757460800).

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

13389248836800 is a wasteful number, since it uses less digits than its factorization.

13389248836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 13389248836800 in words is "thirteen trillion, three hundred eighty-nine billion, two hundred forty-eight million, eight hundred thirty-six thousand, eight hundred".