220558248000 has 448 divisors, whose sum is σ = 811467820800. Its totient is φ = 58651084800.

The previous prime is 220558247977. The next prime is 220558248037. The reversal of 220558248000 is 842855022.

220558248000 is a `hidden beast` number, since 2 + 2 + 0 + 558 + 24 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90502782 + ... + 90505218.

It is an arithmetic number, because the mean of its divisors is an integer number (1811312100).

Almost surely, 2^220558248000 is an apocalyptic number.

220558248000 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 220558248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405733910400).

220558248000 is an abundant number, since it is smaller than the sum of its proper divisors (590909572800).

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

220558248000 is a wasteful number, since it uses less digits than its factorization.

220558248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 220558248000 in words is "two hundred twenty billion, five hundred fifty-eight million, two hundred forty-eight thousand".