13851010320 has 480 divisors, whose sum is σ = 53434080000. Its totient is φ = 2952069120.

The previous prime is 13851010213. The next prime is 13851010351. The reversal of 13851010320 is 2301015831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11089056 + ... + 11090304.

It is an arithmetic number, because the mean of its divisors is an integer number (111321000).

Almost surely, 2^13851010320 is an apocalyptic number.

13851010320 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 13851010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040000).

13851010320 is an abundant number, since it is smaller than the sum of its proper divisors (39583069680).

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

13851010320 is a wasteful number, since it uses less digits than its factorization.

13851010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 13851010320 in words is "thirteen billion, eight hundred fifty-one million, ten thousand, three hundred twenty".