13504367248920 has 160 divisors (see below), whose sum is σ = 45830356434720. Its totient is φ = 3566201748480.

The previous prime is 13504367248811. The next prime is 13504367248951. The reversal of 13504367248920 is 2984276340531.

13504367248920 is a `hidden beast` number, since 1 + 3 + 50 + 43 + 6 + 72 + 489 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19899361 + ... + 20566800.

It is an arithmetic number, because the mean of its divisors is an integer number (286439727717).

It is a 1-persistent number, because it is pandigital, but 2⋅13504367248920 = 27008734497840 is not.

Almost surely, 2^{13504367248920} is an apocalyptic number.

13504367248920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13504367248920 is an abundant number, since it is smaller than the sum of its proper divisors (32325989185800).

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

13504367248920 is a wasteful number, since it uses less digits than its factorization.

13504367248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40466287 (or 40466274 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 13504367248920 in words is "thirteen trillion, five hundred four billion, three hundred sixty-seven million, two hundred forty-eight thousand, nine hundred twenty".