220110261071680 has 672 divisors, whose sum is σ = 646061675616000. Its totient is φ = 71388217700352.

The previous prime is 220110261071653. The next prime is 220110261071731. The reversal of 220110261071680 is 86170162011022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29281659282 + ... + 29281666798.

It is an arithmetic number, because the mean of its divisors is an integer number (961401303000).

Almost surely, 2^{220110261071680} is an apocalyptic number.

220110261071680 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 220110261071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323030837808000).

220110261071680 is an abundant number, since it is smaller than the sum of its proper divisors (425951414544320).

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

220110261071680 is an equidigital number, since it uses as much as digits as its factorization.

220110261071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8332 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 220110261071680 in words is "two hundred twenty trillion, one hundred ten billion, two hundred sixty-one million, seventy-one thousand, six hundred eighty".