220398796800 has 1800 divisors, whose sum is σ = 1018669932896. Its totient is φ = 45864714240.

The previous prime is 220398796799. The next prime is 220398796823. The reversal of 220398796800 is 8697893022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3019161564 + ... + 3019161636.

Almost surely, 2^220398796800 is an apocalyptic number.

220398796800 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 220398796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509334966448).

220398796800 is an abundant number, since it is smaller than the sum of its proper divisors (798271136096).

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

220398796800 is an equidigital number, since it uses as much as digits as its factorization.

220398796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 220398796800 in words is "two hundred twenty billion, three hundred ninety-eight million, seven hundred ninety-six thousand, eight hundred".