220193095680 has 800 divisors, whose sum is σ = 849572242200. Its totient is φ = 54358179840.

The previous prime is 220193095667. The next prime is 220193095691. The reversal of 220193095680 is 86590391022.

It can be written as a sum of positive squares in 4 ways, for example, as 146278711296 + 73914384384 = 382464^2 + 271872^2 .

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

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3609722850 + ... + 3609722910.

Almost surely, 2^220193095680 is an apocalyptic number.

220193095680 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 220193095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424786121100).

220193095680 is an abundant number, since it is smaller than the sum of its proper divisors (629379146520).

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

220193095680 is an frugal number, since it uses more digits than its factorization.

220193095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 220193095680 in words is "two hundred twenty billion, one hundred ninety-three million, ninety-five thousand, six hundred eighty".