220266086400 has 540 divisors, whose sum is σ = 818610621192. Its totient is φ = 58711080960.

The previous prime is 220266086399. The next prime is 220266086413. The reversal of 220266086400 is 4680662022.

220266086400 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 6 + 6 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 35 ways as a sum of consecutive naturals, for example, 99531694 + ... + 99533906.

Almost surely, 2^220266086400 is an apocalyptic number.

220266086400 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 220266086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409305310596).

220266086400 is an abundant number, since it is smaller than the sum of its proper divisors (598344534792).

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

220266086400 is an frugal number, since it uses more digits than its factorization.

220266086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 220266086400 in words is "two hundred twenty billion, two hundred sixty-six million, eighty-six thousand, four hundred".