13808733120 has 1008 divisors, whose sum is σ = 61679754720. Its totient is φ = 2898395136.

The previous prime is 13808733101. The next prime is 13808733131. The reversal of 13808733120 is 2133780831.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13808733120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71547744 + ... + 71547936.

Almost surely, 2^13808733120 is an apocalyptic number.

13808733120 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 13808733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30839877360).

13808733120 is an abundant number, since it is smaller than the sum of its proper divisors (47871021600).

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

13808733120 is a wasteful number, since it uses less digits than its factorization.

13808733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13808733120 in words is "thirteen billion, eight hundred eight million, seven hundred thirty-three thousand, one hundred twenty".