220258500480 has 256 divisors, whose sum is σ = 782875540800. Its totient is φ = 58525286400.

The previous prime is 220258500463. The next prime is 220258500499. The reversal of 220258500480 is 84005852022.

220258500480 is a `hidden beast` number, since 2 + 20 + 2 + 58 + 500 + 4 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4833000 + ... + 4878360.

Almost surely, 2^220258500480 is an apocalyptic number.

220258500480 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 220258500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391437770400).

220258500480 is an abundant number, since it is smaller than the sum of its proper divisors (562617040320).

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

220258500480 is a wasteful number, since it uses less digits than its factorization.

220258500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45670 (or 45652 counting only the distinct ones).

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

The spelling of 220258500480 in words is "two hundred twenty billion, two hundred fifty-eight million, five hundred thousand, four hundred eighty".