205403599872 has 484 divisors, whose sum is σ = 638207437120. Its totient is φ = 66029064192.

The previous prime is 205403599853. The next prime is 205403599927. The reversal of 205403599872 is 278995304502.

205403599872 is a `hidden beast` number, since 2 + 0 + 5 + 40 + 3 + 599 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2600045529 + ... + 2600045607.

Almost surely, 2^205403599872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205403599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319103718560).

205403599872 is an abundant number, since it is smaller than the sum of its proper divisors (432803837248).

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

205403599872 is an frugal number, since it uses more digits than its factorization.

205403599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 205403599872 in words is "two hundred five billion, four hundred three million, five hundred ninety-nine thousand, eight hundred seventy-two".