13890975120 has 800 divisors, whose sum is σ = 56650302720. Its totient is φ = 3120353280.

The previous prime is 13890975073. The next prime is 13890975173. The reversal of 13890975120 is 2157909831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60659166 + ... + 60659394.

Almost surely, 2^13890975120 is an apocalyptic number.

13890975120 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 13890975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28325151360).

13890975120 is an abundant number, since it is smaller than the sum of its proper divisors (42759327600).

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

13890975120 is a wasteful number, since it uses less digits than its factorization.

13890975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 13890975120 in words is "thirteen billion, eight hundred ninety million, nine hundred seventy-five thousand, one hundred twenty".