14979568800 has 288 divisors, whose sum is σ = 58148278272. Its totient is φ = 3274951680.

The previous prime is 14979568759. The next prime is 14979568801. The reversal of 14979568800 is 886597941.

It is not an unprimeable number, because it can be changed into a prime (14979568801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367017 + ... + 405783.

It is an arithmetic number, because the mean of its divisors is an integer number (201903744).

Almost surely, 2^14979568800 is an apocalyptic number.

14979568800 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 14979568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29074139136).

14979568800 is an abundant number, since it is smaller than the sum of its proper divisors (43168709472).

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

14979568800 is a wasteful number, since it uses less digits than its factorization.

14979568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38820 (or 38807 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 14979568800 in words is "fourteen billion, nine hundred seventy-nine million, five hundred sixty-eight thousand, eight hundred".