206171363880 has 160 divisors (see below), whose sum is σ = 694486184040. Its totient is φ = 54858332160.

The previous prime is 206171363779. The next prime is 206171363897. The reversal of 206171363880 is 88363171602.

206171363880 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 7 + 1 + 3 + 638 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206030656836 + 140707044 = 453906^2 + 11862^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1411060 + ... + 1550300.

Almost surely, 2^206171363880 is an apocalyptic number.

206171363880 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 206171363880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347243092020).

206171363880 is an abundant number, since it is smaller than the sum of its proper divisors (488314820160).

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

206171363880 is a wasteful number, since it uses less digits than its factorization.

206171363880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139721 (or 139708 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 206171363880 in words is "two hundred six billion, one hundred seventy-one million, three hundred sixty-three thousand, eight hundred eighty".