13800929120 has 288 divisors, whose sum is σ = 38724086016. Its totient is φ = 4606156800.

The previous prime is 13800929111. The next prime is 13800929123. The reversal of 13800929120 is 2192900831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800929123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21871205 + ... + 21871835.

It is an arithmetic number, because the mean of its divisors is an integer number (134458632).

Almost surely, 2^13800929120 is an apocalyptic number.

13800929120 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 13800929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362043008).

13800929120 is an abundant number, since it is smaller than the sum of its proper divisors (24923156896).

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

13800929120 is a wasteful number, since it uses less digits than its factorization.

13800929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 13800929120 in words is "thirteen billion, eight hundred million, nine hundred twenty-nine thousand, one hundred twenty".