205131657920 has 448 divisors, whose sum is σ = 588422983680. Its totient is φ = 66663088128.

The previous prime is 205131657919. The next prime is 205131657947. The reversal of 205131657920 is 29756131502.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541244291 + ... + 541244669.

It is an arithmetic number, because the mean of its divisors is an integer number (1313444160).

Almost surely, 2^205131657920 is an apocalyptic number.

205131657920 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 205131657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294211491840).

205131657920 is an abundant number, since it is smaller than the sum of its proper divisors (383291325760).

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

205131657920 is a wasteful number, since it uses less digits than its factorization.

205131657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 205131657920 in words is "two hundred five billion, one hundred thirty-one million, six hundred fifty-seven thousand, nine hundred twenty".