205536481020 has 288 divisors, whose sum is σ = 726565012992. Its totient is φ = 48393531648.

The previous prime is 205536480973. The next prime is 205536481057. The reversal of 205536481020 is 20184635502.

205536481020 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 3 + 648 + 1 + 0 + 2 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1382419 + ... + 1523861.

It is an arithmetic number, because the mean of its divisors is an integer number (2522795184).

Almost surely, 2^205536481020 is an apocalyptic number.

205536481020 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 205536481020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363282506496).

205536481020 is an abundant number, since it is smaller than the sum of its proper divisors (521028531972).

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

205536481020 is a wasteful number, since it uses less digits than its factorization.

205536481020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141503 (or 141489 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 205536481020 in words is "two hundred five billion, five hundred thirty-six million, four hundred eighty-one thousand, twenty".