205132205880 has 384 divisors, whose sum is σ = 804644305920. Its totient is φ = 44307394560.

The previous prime is 205132205869. The next prime is 205132205909. The reversal of 205132205880 is 88502231502.

205132205880 is a `hidden beast` number, since 2 + 0 + 51 + 3 + 2 + 20 + 588 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 4789360 + ... + 4832000.

It is an arithmetic number, because the mean of its divisors is an integer number (2095427880).

Almost surely, 2^205132205880 is an apocalyptic number.

205132205880 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 205132205880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402322152960).

205132205880 is an abundant number, since it is smaller than the sum of its proper divisors (599512100040).

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

205132205880 is a wasteful number, since it uses less digits than its factorization.

205132205880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42771 (or 42764 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 205132205880 in words is "two hundred five billion, one hundred thirty-two million, two hundred five thousand, eight hundred eighty".