205433098920 has 384 divisors, whose sum is σ = 786212893440. Its totient is φ = 45551185920.

The previous prime is 205433098901. The next prime is 205433098967. The reversal of 205433098920 is 29890334502.

It is a happy number.

205433098920 is a `hidden beast` number, since 2 + 0 + 543 + 3 + 0 + 9 + 89 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11212407 + ... + 11230713.

It is an arithmetic number, because the mean of its divisors is an integer number (2047429410).

Almost surely, 2^205433098920 is an apocalyptic number.

205433098920 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 205433098920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393106446720).

205433098920 is an abundant number, since it is smaller than the sum of its proper divisors (580779794520).

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

205433098920 is a wasteful number, since it uses less digits than its factorization.

205433098920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18465 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 205433098920 in words is "two hundred five billion, four hundred thirty-three million, ninety-eight thousand, nine hundred twenty".