205823997025920 has 896 divisors, whose sum is σ = 907981120045440. Its totient is φ = 43426592612352.

The previous prime is 205823997025909. The next prime is 205823997025991. The reversal of 205823997025920 is 29520799328502.

205823997025920 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 2 + 39 + 9 + 7 + 0 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40033047 + ... + 44880873.

It is an arithmetic number, because the mean of its divisors is an integer number (1013371785765).

Almost surely, 2^{205823997025920} is an apocalyptic number.

205823997025920 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 205823997025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453990560022720).

205823997025920 is an abundant number, since it is smaller than the sum of its proper divisors (702157123019520).

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

205823997025920 is an equidigital number, since it uses as much as digits as its factorization.

205823997025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847884 (or 4847857 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 205823997025920 in words is "two hundred five trillion, eight hundred twenty-three billion, nine hundred ninety-seven million, twenty-five thousand, nine hundred twenty".