206882179233128 has 320 divisors, whose sum is σ = 489527520840000. Its totient is φ = 81675597459456.

The previous prime is 206882179233101. The next prime is 206882179233143. The reversal of 206882179233128 is 821332971288602.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27046953848 + ... + 27046961496.

It is an arithmetic number, because the mean of its divisors is an integer number (1529773502625).

Almost surely, 2^{206882179233128} is an apocalyptic number.

206882179233128 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 206882179233128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244763760420000).

206882179233128 is an abundant number, since it is smaller than the sum of its proper divisors (282645341606872).

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

206882179233128 is a wasteful number, since it uses less digits than its factorization.

206882179233128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 206882179233128 in words is "two hundred six trillion, eight hundred eighty-two billion, one hundred seventy-nine million, two hundred thirty-three thousand, one hundred twenty-eight".