13293745785216 has 960 divisors, whose sum is σ = 43760555467200. Its totient is φ = 4003408281600.

The previous prime is 13293745785193. The next prime is 13293745785227. The reversal of 13293745785216 is 61258754739231.

13293745785216 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 3 + 7 + 4 + 578 + 52 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18963973666 + ... + 18963974366.

It is an arithmetic number, because the mean of its divisors is an integer number (45583911945).

Almost surely, 2^{13293745785216} is an apocalyptic number.

13293745785216 is a gapful number since it is divisible by the number (16) 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 13293745785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880277733600).

13293745785216 is an abundant number, since it is smaller than the sum of its proper divisors (30466809681984).

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

13293745785216 is a wasteful number, since it uses less digits than its factorization.

13293745785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 935 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 13293745785216 in words is "thirteen trillion, two hundred ninety-three billion, seven hundred forty-five million, seven hundred eighty-five thousand, two hundred sixteen".