14275605120 has 512 divisors, whose sum is σ = 54198720000. Its totient is φ = 3193602048.

The previous prime is 14275605119. The next prime is 14275605133. The reversal of 14275605120 is 2150657241.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34903476 + ... + 34903884.

It is an arithmetic number, because the mean of its divisors is an integer number (105856875).

Almost surely, 2^14275605120 is an apocalyptic number.

14275605120 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 14275605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27099360000).

14275605120 is an abundant number, since it is smaller than the sum of its proper divisors (39923114880).

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

14275605120 is an equidigital number, since it uses as much as digits as its factorization.

14275605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 14275605120 in words is "fourteen billion, two hundred seventy-five million, six hundred five thousand, one hundred twenty".