205004869920 has 576 divisors, whose sum is σ = 769299987456. Its totient is φ = 51463434240.

The previous prime is 205004869919. The next prime is 205004869999. The reversal of 205004869920 is 29968400502.

205004869920 is a `hidden beast` number, since 20 + 500 + 48 + 69 + 9 + 20 = 666.

205004869920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205004869920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 44593062 + ... + 44597658.

It is an arithmetic number, because the mean of its divisors is an integer number (1335590256).

Almost surely, 2^205004869920 is an apocalyptic number.

205004869920 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 205004869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384649993728).

205004869920 is an abundant number, since it is smaller than the sum of its proper divisors (564295117536).

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

205004869920 is a wasteful number, since it uses less digits than its factorization.

205004869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 205004869920 in words is "two hundred five billion, four million, eight hundred sixty-nine thousand, nine hundred twenty".