220216126080 has 256 divisors, whose sum is σ = 730188950400. Its totient is φ = 56383488000.

The previous prime is 220216126069. The next prime is 220216126129. The reversal of 220216126080 is 80621612022.

220216126080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10067155 + ... + 10089005.

Almost surely, 2^220216126080 is an apocalyptic number.

220216126080 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 220216126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365094475200).

220216126080 is an abundant number, since it is smaller than the sum of its proper divisors (509972824320).

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

220216126080 is a wasteful number, since it uses less digits than its factorization.

220216126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22083 (or 22071 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 220216126080 in words is "two hundred twenty billion, two hundred sixteen million, one hundred twenty-six thousand, eighty".