205227263205900 has 432 divisors, whose sum is σ = 713111636100864. Its totient is φ = 49047169973760.

The previous prime is 205227263205883. The next prime is 205227263205901. The reversal of 205227263205900 is 9502362722502.

205227263205900 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 2 + 7 + 2 + 632 + 0 + 5 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (205227263205901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82796367 + ... + 85239033.

Almost surely, 2^{205227263205900} is an apocalyptic number.

205227263205900 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 205227263205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356555818050432).

205227263205900 is an abundant number, since it is smaller than the sum of its proper divisors (507884372894964).

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

205227263205900 is a wasteful number, since it uses less digits than its factorization.

205227263205900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442910 (or 2442900 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 205227263205900 in words is "two hundred five trillion, two hundred twenty-seven billion, two hundred sixty-three million, two hundred five thousand, nine hundred".