220990096800 has 1440 divisors, whose sum is σ = 926679688704. Its totient is φ = 50761728000.

The previous prime is 220990096793. The next prime is 220990096819. The reversal of 220990096800 is 8690099022.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1613066332 + ... + 1613066468.

Almost surely, 2^220990096800 is an apocalyptic number.

220990096800 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 220990096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463339844352).

220990096800 is an abundant number, since it is smaller than the sum of its proper divisors (705689591904).

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

220990096800 is a wasteful number, since it uses less digits than its factorization.

220990096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 2209 and 90096800, that added together give a palindrome (90099009).

The spelling of 220990096800 in words is "two hundred twenty billion, nine hundred ninety million, ninety-six thousand, eight hundred".