14880096000 has 1296 divisors, whose sum is σ = 68363166144. Its totient is φ = 3041280000.

The previous prime is 14880095977. The next prime is 14880096019. The reversal of 14880096000 is 69008841.

It is a happy number.

14880096000 is a `hidden beast` number, since 1 + 48 + 8 + 0 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243935970 + ... + 243936030.

Almost surely, 2^14880096000 is an apocalyptic number.

14880096000 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 14880096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181583072).

14880096000 is an abundant number, since it is smaller than the sum of its proper divisors (53483070144).

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

14880096000 is a wasteful number, since it uses less digits than its factorization.

14880096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 14880096000 in words is "fourteen billion, eight hundred eighty million, ninety-six thousand".