220380319800 has 216 divisors, whose sum is σ = 781116233040. Its totient is φ = 55674864000.

The previous prime is 220380319793. The next prime is 220380319811. The reversal of 220380319800 is 8913083022.

It is a happy number.

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 53 ways as a sum of consecutive naturals, for example, 480225 + ... + 819375.

Almost surely, 2^220380319800 is an apocalyptic number.

220380319800 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 220380319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390558116520).

220380319800 is an abundant number, since it is smaller than the sum of its proper divisors (560735913240).

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

220380319800 is a wasteful number, since it uses less digits than its factorization.

220380319800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339211 (or 339180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 220380319800 in words is "two hundred twenty billion, three hundred eighty million, three hundred nineteen thousand, eight hundred".