206916982272 has 1280 divisors, whose sum is σ = 866744524800. Its totient is φ = 46939668480.

The previous prime is 206916982267. The next prime is 206916982339. The reversal of 206916982272 is 272289619602.

206916982272 is a `hidden beast` number, since 206 + 9 + 169 + 8 + 2 + 272 = 666.

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

It is a congruent number.

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, 262918263 + ... + 262919049.

It is an arithmetic number, because the mean of its divisors is an integer number (677144160).

Almost surely, 2^206916982272 is an apocalyptic number.

206916982272 is a gapful number since it is divisible by the number (22) 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 206916982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433372262400).

206916982272 is an abundant number, since it is smaller than the sum of its proper divisors (659827542528).

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

206916982272 is a wasteful number, since it uses less digits than its factorization.

206916982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 206916982272 in words is "two hundred six billion, nine hundred sixteen million, nine hundred eighty-two thousand, two hundred seventy-two".