220350028800 has 1056 divisors, whose sum is σ = 857491902720. Its totient is φ = 49309286400.

The previous prime is 220350028793. The next prime is 220350028807. The reversal of 220350028800 is 8820053022.

It is an interprime number because it is at equal distance from previous prime (220350028793) and next prime (220350028807).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220350028807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962227086 + ... + 962227314.

Almost surely, 2^220350028800 is an apocalyptic number.

220350028800 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 220350028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428745951360).

220350028800 is an abundant number, since it is smaller than the sum of its proper divisors (637141873920).

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

220350028800 is a wasteful number, since it uses less digits than its factorization.

220350028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 220350028800 in words is "two hundred twenty billion, three hundred fifty million, twenty-eight thousand, eight hundred".