205985045952 has 672 divisors, whose sum is σ = 754014240000. Its totient is φ = 54815201280.

The previous prime is 205985045939. The next prime is 205985045999. The reversal of 205985045952 is 259540589502.

205985045952 is a `hidden beast` number, since 2 + 0 + 5 + 98 + 50 + 459 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 98133799 + ... + 98135897.

It is an arithmetic number, because the mean of its divisors is an integer number (1122045000).

Almost surely, 2^205985045952 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 205985045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377007120000).

205985045952 is an abundant number, since it is smaller than the sum of its proper divisors (548029194048).

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

205985045952 is a wasteful number, since it uses less digits than its factorization.

205985045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 205985045952 in words is "two hundred five billion, nine hundred eighty-five million, forty-five thousand, nine hundred fifty-two".