206850942112896 has 192 divisors, whose sum is σ = 595831229622720. Its totient is φ = 68881285564416.

The previous prime is 206850942112721. The next prime is 206850942112933. The reversal of 206850942112896 is 698211249058602.

206850942112896 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 50 + 94 + 211 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10669559715 + ... + 10669579101.

It is an arithmetic number, because the mean of its divisors is an integer number (3103287654285).

Almost surely, 2^{206850942112896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206850942112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297915614811360).

206850942112896 is an abundant number, since it is smaller than the sum of its proper divisors (388980287509824).

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

206850942112896 is a wasteful number, since it uses less digits than its factorization.

206850942112896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28203 (or 28188 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 206850942112896 in words is "two hundred six trillion, eight hundred fifty billion, nine hundred forty-two million, one hundred twelve thousand, eight hundred ninety-six".