171383900220 has 288 divisors, whose sum is σ = 589269477888. Its totient is φ = 41556125952.

The previous prime is 171383900213. The next prime is 171383900221. The reversal of 171383900220 is 22009383171.

171383900220 is a `hidden beast` number, since 17 + 1 + 38 + 390 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171383900221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4212817 + ... + 4253303.

It is an arithmetic number, because the mean of its divisors is an integer number (2046074576).

Almost surely, 2^171383900220 is an apocalyptic number.

171383900220 is a gapful number since it is divisible by the number (10) 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 171383900220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294634738944).

171383900220 is an abundant number, since it is smaller than the sum of its proper divisors (417885577668).

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

171383900220 is a wasteful number, since it uses less digits than its factorization.

171383900220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40591 (or 40577 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 171383900220 in words is "one hundred seventy-one billion, three hundred eighty-three million, nine hundred thousand, two hundred twenty".