13733806080 has 480 divisors, whose sum is σ = 47561955840. Its totient is φ = 3376414720.

The previous prime is 13733806067. The next prime is 13733806103. The reversal of 13733806080 is 8060833731.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292208617 + ... + 292208663.

It is an arithmetic number, because the mean of its divisors is an integer number (99087408).

Almost surely, 2^13733806080 is an apocalyptic number.

13733806080 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 13733806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780977920).

13733806080 is an abundant number, since it is smaller than the sum of its proper divisors (33828149760).

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

13733806080 is an equidigital number, since it uses as much as digits as its factorization.

13733806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13733806080 in words is "thirteen billion, seven hundred thirty-three million, eight hundred six thousand, eighty".