220298158080 has 1792 divisors, whose sum is σ = 1056900096000. Its totient is φ = 42042654720.

The previous prime is 220298158019. The next prime is 220298158109. The reversal of 220298158080 is 80851892022.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1107025821 + ... + 1107026019.

It is an arithmetic number, because the mean of its divisors is an integer number (589788000).

Almost surely, 2^220298158080 is an apocalyptic number.

220298158080 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 220298158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528450048000).

220298158080 is an abundant number, since it is smaller than the sum of its proper divisors (836601937920).

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

220298158080 is a wasteful number, since it uses less digits than its factorization.

220298158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 220298158080 in words is "two hundred twenty billion, two hundred ninety-eight million, one hundred fifty-eight thousand, eighty".