206067979221120 has 1024 divisors, whose sum is σ = 766205982720000. Its totient is φ = 52242188156928.

The previous prime is 206067979221109. The next prime is 206067979221161. The reversal of 206067979221120 is 21122979760602.

206067979221120 is a `hidden beast` number, since 2 + 0 + 606 + 7 + 9 + 7 + 9 + 2 + 2 + 1 + 1 + 20 = 666.

206067979221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58227740311 + ... + 58227743849.

It is an arithmetic number, because the mean of its divisors is an integer number (748248030000).

Almost surely, 2^{206067979221120} is an apocalyptic number.

206067979221120 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 206067979221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383102991360000).

206067979221120 is an abundant number, since it is smaller than the sum of its proper divisors (560138003498880).

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

206067979221120 is a wasteful number, since it uses less digits than its factorization.

206067979221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 206067979221120 in words is "two hundred six trillion, sixty-seven billion, nine hundred seventy-nine million, two hundred twenty-one thousand, one hundred twenty".