13293836925120 has 672 divisors, whose sum is σ = 50257111177728. Its totient is φ = 3333238013952.

The previous prime is 13293836925007. The next prime is 13293836925163. The reversal of 13293836925120 is 2152963839231.

13293836925120 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 3 + 8 + 36 + 92 + 512 + 0 = 666.

It is a super-2 number, since 2×13293836925120² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1537388637 + ... + 1537397283.

It is an arithmetic number, because the mean of its divisors is an integer number (74787367824).

Almost surely, 2^{13293836925120} is an apocalyptic number.

13293836925120 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 13293836925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25128555588864).

13293836925120 is an abundant number, since it is smaller than the sum of its proper divisors (36963274252608).

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

13293836925120 is a wasteful number, since it uses less digits than its factorization.

13293836925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 13293836925120 in words is "thirteen trillion, two hundred ninety-three billion, eight hundred thirty-six million, nine hundred twenty-five thousand, one hundred twenty".