13650309120 has 416 divisors, whose sum is σ = 52879523328. Its totient is φ = 2934964224.

The previous prime is 13650309097. The next prime is 13650309161. The reversal of 13650309120 is 2190305631.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7310427 + ... + 7312293.

Almost surely, 2^13650309120 is an apocalyptic number.

13650309120 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 13650309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26439761664).

13650309120 is an abundant number, since it is smaller than the sum of its proper divisors (39229214208).

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

13650309120 is a wasteful number, since it uses less digits than its factorization.

13650309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 13650309120 in words is "thirteen billion, six hundred fifty million, three hundred nine thousand, one hundred twenty".