220001339403720 has 768 divisors, whose sum is σ = 878726983680000. Its totient is φ = 46672232140800.

The previous prime is 220001339403623. The next prime is 220001339403721. The reversal of 220001339403720 is 27304933100022.

220001339403720 is a `hidden beast` number, since 2 + 200 + 0 + 13 + 39 + 40 + 372 + 0 = 666.

220001339403720 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (220001339403721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188390181 + ... + 189554379.

It is an arithmetic number, because the mean of its divisors is an integer number (1144175760000).

Almost surely, 2^{220001339403720} is an apocalyptic number.

220001339403720 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 220001339403720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439363491840000).

220001339403720 is an abundant number, since it is smaller than the sum of its proper divisors (658725644276280).

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

220001339403720 is a wasteful number, since it uses less digits than its factorization.

220001339403720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164354 (or 1164347 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 220001339403720 in words is "two hundred twenty trillion, one billion, three hundred thirty-nine million, four hundred three thousand, seven hundred twenty".