14927153120 has 96 divisors (see below), whose sum is σ = 38515157856. Its totient is φ = 5421875200.

The previous prime is 14927153113. The next prime is 14927153159. The reversal of 14927153120 is 2135172941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715180 + ... + 1723860.

It is an arithmetic number, because the mean of its divisors is an integer number (401199561).

Almost surely, 2^14927153120 is an apocalyptic number.

14927153120 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 14927153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257578928).

14927153120 is an abundant number, since it is smaller than the sum of its proper divisors (23588004736).

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

14927153120 is a wasteful number, since it uses less digits than its factorization.

14927153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9684 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 14927153120 in words is "fourteen billion, nine hundred twenty-seven million, one hundred fifty-three thousand, one hundred twenty".