220394672710128 has 180 divisors, whose sum is σ = 717593505763680. Its totient is φ = 62961775123968.

The previous prime is 220394672710111. The next prime is 220394672710183. The reversal of 220394672710128 is 821017276493022.

220394672710128 is a `hidden beast` number, since 2 + 2 + 0 + 39 + 467 + 27 + 1 + 0 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52734676 + ... + 56760332.

It is an arithmetic number, because the mean of its divisors is an integer number (3986630587576).

Almost surely, 2^{220394672710128} is an apocalyptic number.

220394672710128 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 220394672710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358796752881840).

220394672710128 is an abundant number, since it is smaller than the sum of its proper divisors (497198833053552).

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

220394672710128 is a wasteful number, since it uses less digits than its factorization.

220394672710128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033444 (or 4033428 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 220394672710128 in words is "two hundred twenty trillion, three hundred ninety-four billion, six hundred seventy-two million, seven hundred ten thousand, one hundred twenty-eight".