220069882368 has 480 divisors, whose sum is σ = 763571128320. Its totient is φ = 61974097920.

The previous prime is 220069882339. The next prime is 220069882397. The reversal of 220069882368 is 863288960022.

220069882368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220069882339) and next prime (220069882397).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61832973 + ... + 61836531.

It is an arithmetic number, because the mean of its divisors is an integer number (1590773184).

Almost surely, 2^220069882368 is an apocalyptic number.

220069882368 is a gapful number since it is divisible by the number (28) 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 220069882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381785564160).

220069882368 is an abundant number, since it is smaller than the sum of its proper divisors (543501245952).

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

220069882368 is an frugal number, since it uses more digits than its factorization.

220069882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 220069882368 in words is "two hundred twenty billion, sixty-nine million, eight hundred eighty-two thousand, three hundred sixty-eight".