205906428000 has 2304 divisors, whose sum is σ = 975009934080. Its totient is φ = 41803776000.

The previous prime is 205906427953. The next prime is 205906428011. The reversal of 205906428000 is 824609502.

It is a happy number.

205906428000 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 0 + 642 + 8 + 0 + 0 + 0 = 666.

205906428000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2820635964 + ... + 2820636036.

It is an arithmetic number, because the mean of its divisors is an integer number (423181395).

Almost surely, 2^205906428000 is an apocalyptic number.

205906428000 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 205906428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487504967040).

205906428000 is an abundant number, since it is smaller than the sum of its proper divisors (769103506080).

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

205906428000 is a wasteful number, since it uses less digits than its factorization.

205906428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 205906428000 in words is "two hundred five billion, nine hundred six million, four hundred twenty-eight thousand".