220012809891840 has 1248 divisors, whose sum is σ = 920808011335680. Its totient is φ = 47521095745536.

The previous prime is 220012809891781. The next prime is 220012809891871. The reversal of 220012809891840 is 48198908210022.

220012809891840 is a `hidden beast` number, since 2 + 200 + 1 + 280 + 9 + 89 + 1 + 84 + 0 = 666.

It is a super-3 number, since 3×220012809891840³ (a number of 44 digits) contains 333 as substring.

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, 1758534567 + ... + 1758659673.

It is an arithmetic number, because the mean of its divisors is an integer number (737826932160).

Almost surely, 2^{220012809891840} is an apocalyptic number.

220012809891840 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 220012809891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404005667840).

220012809891840 is an abundant number, since it is smaller than the sum of its proper divisors (700795201443840).

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

220012809891840 is a wasteful number, since it uses less digits than its factorization.

220012809891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125225 (or 125200 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 220012809891840 in words is "two hundred twenty trillion, twelve billion, eight hundred nine million, eight hundred ninety-one thousand, eight hundred forty".