205438712688 has 480 divisors, whose sum is σ = 660617717760. Its totient is φ = 59035392000.

The previous prime is 205438712671. The next prime is 205438712707. The reversal of 205438712688 is 886217834502.

205438712688 is a `hidden beast` number, since 2 + 0 + 5 + 438 + 7 + 126 + 88 = 666.

205438712688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205438712688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 701155870 + ... + 701156162.

It is an arithmetic number, because the mean of its divisors is an integer number (1376286912).

Almost surely, 2^205438712688 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 205438712688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330308858880).

205438712688 is an abundant number, since it is smaller than the sum of its proper divisors (455179005072).

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

205438712688 is a wasteful number, since it uses less digits than its factorization.

205438712688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 205438712688 in words is "two hundred five billion, four hundred thirty-eight million, seven hundred twelve thousand, six hundred eighty-eight".