205432162560 has 216 divisors, whose sum is σ = 721385159040. Its totient is φ = 53964066816.

The previous prime is 205432162489. The next prime is 205432162561. The reversal of 205432162560 is 65261234502.

205432162560 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 3 + 21 + 625 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205432162561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638761 + ... + 904919.

Almost surely, 2^205432162560 is an apocalyptic number.

205432162560 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 205432162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360692579520).

205432162560 is an abundant number, since it is smaller than the sum of its proper divisors (515952996480).

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

205432162560 is a wasteful number, since it uses less digits than its factorization.

205432162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266253 (or 266236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 205432162560 in words is "two hundred five billion, four hundred thirty-two million, one hundred sixty-two thousand, five hundred sixty".