220748109598080 has 384 divisors, whose sum is σ = 790545035105280. Its totient is φ = 58863037519872.

The previous prime is 220748109598057. The next prime is 220748109598123. The reversal of 220748109598080 is 80895901847022.

220748109598080 is a `hidden beast` number, since 2 + 20 + 7 + 4 + 8 + 10 + 9 + 598 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×220748109598080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220748109597999 and 220748109598017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5801965617 + ... + 5802003663.

It is an arithmetic number, because the mean of its divisors is an integer number (2058711028920).

Almost surely, 2^{220748109598080} is an apocalyptic number.

220748109598080 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 220748109598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395272517552640).

220748109598080 is an abundant number, since it is smaller than the sum of its proper divisors (569796925507200).

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

220748109598080 is an equidigital number, since it uses as much as digits as its factorization.

220748109598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75388 (or 75364 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 220748109598080 in words is "two hundred twenty trillion, seven hundred forty-eight billion, one hundred nine million, five hundred ninety-eight thousand, eighty".