85800166920 has 640 divisors, whose sum is σ = 334641162240. Its totient is φ = 19543265280.

The previous prime is 85800166913. The next prime is 85800166927. The reversal of 85800166920 is 2966100858.

85800166920 is a `hidden beast` number, since 8 + 580 + 0 + 1 + 6 + 69 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85800166913) and next prime (85800166927).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (85800166927) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 30030132 + ... + 30032988.

It is an arithmetic number, because the mean of its divisors is an integer number (522876816).

Almost surely, 2^85800166920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85800166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167320581120).

85800166920 is an abundant number, since it is smaller than the sum of its proper divisors (248840995320).

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

85800166920 is a wasteful number, since it uses less digits than its factorization.

85800166920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 85800166920 in words is "eighty-five billion, eight hundred million, one hundred sixty-six thousand, nine hundred twenty".