205306530264 has 288 divisors, whose sum is σ = 653929239600. Its totient is φ = 57970598400.

The previous prime is 205306530259. The next prime is 205306530301. The reversal of 205306530264 is 462035603502.

205306530264 is a `hidden beast` number, since 2 + 0 + 530 + 65 + 3 + 0 + 2 + 64 = 666.

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 71 ways as a sum of consecutive naturals, for example, 10087042 + ... + 10107374.

Almost surely, 2^205306530264 is an apocalyptic number.

205306530264 is a gapful number since it is divisible by the number (24) 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 205306530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326964619800).

205306530264 is an abundant number, since it is smaller than the sum of its proper divisors (448622709336).

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

205306530264 is a wasteful number, since it uses less digits than its factorization.

205306530264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20447 (or 20429 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 205306530264 in words is "two hundred five billion, three hundred six million, five hundred thirty thousand, two hundred sixty-four".