200161171672 has 128 divisors (see below), whose sum is σ = 490864665600. Its totient is φ = 74234764800.

The previous prime is 200161171669. The next prime is 200161171703. The reversal of 200161171672 is 276171161002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189438 + ... + 1347250.

It is an arithmetic number, because the mean of its divisors is an integer number (3834880200).

Almost surely, 2^200161171672 is an apocalyptic number.

200161171672 is a gapful number since it is divisible by the number (22) 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 200161171672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245432332800).

200161171672 is an abundant number, since it is smaller than the sum of its proper divisors (290703493928).

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

200161171672 is a wasteful number, since it uses less digits than its factorization.

200161171672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157937 (or 157933 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 200161171672 in words is "two hundred billion, one hundred sixty-one million, one hundred seventy-one thousand, six hundred seventy-two".