206773088256 has 1040 divisors, whose sum is σ = 761173248000. Its totient is φ = 55794106368.

The previous prime is 206773088237. The next prime is 206773088281. The reversal of 206773088256 is 652880377602.

206773088256 is a `hidden beast` number, since 20 + 67 + 7 + 308 + 8 + 256 = 666.

It is a super-2 number, since 2×206773088256² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2617380825 + ... + 2617380903.

Almost surely, 2^206773088256 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 206773088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380586624000).

206773088256 is an abundant number, since it is smaller than the sum of its proper divisors (554400159744).

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

206773088256 is an frugal number, since it uses more digits than its factorization.

206773088256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 206773088256 in words is "two hundred six billion, seven hundred seventy-three million, eighty-eight thousand, two hundred fifty-six".