220116524100 has 288 divisors, whose sum is σ = 711446464512. Its totient is φ = 52086720000.

The previous prime is 220116524087. The next prime is 220116524107. The reversal of 220116524100 is 1425611022.

It is not an unprimeable number, because it can be changed into a prime (220116524107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65295415 + ... + 65298785.

It is an arithmetic number, because the mean of its divisors is an integer number (2470300224).

Almost surely, 2^220116524100 is an apocalyptic number.

220116524100 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 220116524100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355723232256).

220116524100 is an abundant number, since it is smaller than the sum of its proper divisors (491329940412).

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

220116524100 is a wasteful number, since it uses less digits than its factorization.

220116524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 220116524100 in words is "two hundred twenty billion, one hundred sixteen million, five hundred twenty-four thousand, one hundred".