220685253840 has 1280 divisors, whose sum is σ = 889143091200. Its totient is φ = 49949540352.

The previous prime is 220685253809. The next prime is 220685253907. The reversal of 220685253840 is 48352586022.

220685253840 is a `hidden beast` number, since 2 + 2 + 0 + 68 + 52 + 538 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2142575229 + ... + 2142575331.

It is an arithmetic number, because the mean of its divisors is an integer number (694643040).

Almost surely, 2^220685253840 is an apocalyptic number.

220685253840 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 220685253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444571545600).

220685253840 is an abundant number, since it is smaller than the sum of its proper divisors (668457837360).

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

220685253840 is a wasteful number, since it uses less digits than its factorization.

220685253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 220685253840 in words is "two hundred twenty billion, six hundred eighty-five million, two hundred fifty-three thousand, eight hundred forty".