14880320000 has 600 divisors, whose sum is σ = 47180363076. Its totient is φ = 4644864000.

The previous prime is 14880319969. The next prime is 14880320029. The reversal of 14880320000 is 2308841.

It can be written as a sum of positive squares in 10 ways, for example, as 2759190784 + 12121129216 = 52528^2 + 110096^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 203839964 + ... + 203840036.

Almost surely, 2^14880320000 is an apocalyptic number.

14880320000 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 14880320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590181538).

14880320000 is an abundant number, since it is smaller than the sum of its proper divisors (32300043076).

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

14880320000 is an frugal number, since it uses more digits than its factorization.

14880320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 14880320000 its reverse (2308841), we get a palindrome (14882628841).

The spelling of 14880320000 in words is "fourteen billion, eight hundred eighty million, three hundred twenty thousand".