13468685920 has 96 divisors (see below), whose sum is σ = 33245214912. Its totient is φ = 5146724352.

The previous prime is 13468685891. The next prime is 13468685959. The reversal of 13468685920 is 2958686431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3726034 + ... + 3729646.

It is an arithmetic number, because the mean of its divisors is an integer number (346304322).

Almost surely, 2^13468685920 is an apocalyptic number.

13468685920 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 13468685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622607456).

13468685920 is an abundant number, since it is smaller than the sum of its proper divisors (19776528992).

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

13468685920 is a wasteful number, since it uses less digits than its factorization.

13468685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 13468685920 in words is "thirteen billion, four hundred sixty-eight million, six hundred eighty-five thousand, nine hundred twenty".