13268393758704 has 640 divisors, whose sum is σ = 45117112320000. Its totient is φ = 3337290657792.

The previous prime is 13268393758651. The next prime is 13268393758709. The reversal of 13268393758704 is 40785739386231.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13268393758709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420096097 + ... + 420127679.

It is an arithmetic number, because the mean of its divisors is an integer number (70495488000).

It is a 1-persistent number, because it is pandigital, but 2⋅13268393758704 = 26536787517408 is not.

Almost surely, 2^{13268393758704} is an apocalyptic number.

13268393758704 is a gapful number since it is divisible by the number (14) 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 13268393758704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558556160000).

13268393758704 is an abundant number, since it is smaller than the sum of its proper divisors (31848718561296).

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

13268393758704 is a wasteful number, since it uses less digits than its factorization.

13268393758704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31730 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 13268393758704 in words is "thirteen trillion, two hundred sixty-eight billion, three hundred ninety-three million, seven hundred fifty-eight thousand, seven hundred four".