220089024000 has 960 divisors, whose sum is σ = 851433897600. Its totient is φ = 54499737600.

The previous prime is 220089023911. The next prime is 220089024053. The reversal of 220089024000 is 420980022.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490175776 + ... + 490176224.

It is an arithmetic number, because the mean of its divisors is an integer number (886910310).

Almost surely, 2^220089024000 is an apocalyptic number.

220089024000 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 220089024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425716948800).

220089024000 is an abundant number, since it is smaller than the sum of its proper divisors (631344873600).

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

220089024000 is a wasteful number, since it uses less digits than its factorization.

220089024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 220089024000 in words is "two hundred twenty billion, eighty-nine million, twenty-four thousand".