220014802828800 has 2880 divisors, whose sum is σ = 951142709637120. Its totient is φ = 47515843952640.

The previous prime is 220014802828771. The next prime is 220014802828823. The reversal of 220014802828800 is 8828208410022.

220014802828800 is a `hidden beast` number, since 2 + 200 + 14 + 80 + 282 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 286105074816 + ... + 286105075584.

Almost surely, 2^{220014802828800} is an apocalyptic number.

220014802828800 is a gapful number since it is divisible by the number (20) 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 220014802828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475571354818560).

220014802828800 is an abundant number, since it is smaller than the sum of its proper divisors (731127906808320).

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

220014802828800 is a wasteful number, since it uses less digits than its factorization.

220014802828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 220014802828800 in words is "two hundred twenty trillion, fourteen billion, eight hundred two million, eight hundred twenty-eight thousand, eight hundred".