220115172910080 has 1584 divisors, whose sum is σ = 841321378287360. Its totient is φ = 48963555164160.

The previous prime is 220115172910079. The next prime is 220115172910081. The reversal of 220115172910080 is 80019271511022.

It is an interprime number because it is at equal distance from previous prime (220115172910079) and next prime (220115172910081).

It is not an unprimeable number, because it can be changed into a prime (220115172910081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1216105927590 + ... + 1216105927770.

Almost surely, 2^{220115172910080} is an apocalyptic number.

220115172910080 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 220115172910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420660689143680).

220115172910080 is an abundant number, since it is smaller than the sum of its proper divisors (621206205377280).

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

220115172910080 is a wasteful number, since it uses less digits than its factorization.

220115172910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 220115172910080 in words is "two hundred twenty trillion, one hundred fifteen billion, one hundred seventy-two million, nine hundred ten thousand, eighty".