13590982379520 has 3168 divisors, whose sum is σ = 63720266500800. Its totient is φ = 2716624355328.

The previous prime is 13590982379483. The next prime is 13590982379549. The reversal of 13590982379520 is 2597328909531.

13590982379520 is a `hidden beast` number, since 1 + 3 + 590 + 9 + 8 + 2 + 37 + 9 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 715314862071 + ... + 715314862089.

Almost surely, 2^{13590982379520} is an apocalyptic number.

13590982379520 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 13590982379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31860133250400).

13590982379520 is an abundant number, since it is smaller than the sum of its proper divisors (50129284121280).

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

13590982379520 is an frugal number, since it uses more digits than its factorization.

13590982379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 13590982379520 in words is "thirteen trillion, five hundred ninety billion, nine hundred eighty-two million, three hundred seventy-nine thousand, five hundred twenty".