85181884160 has 36 divisors (see below), whose sum is σ = 204037234968. Its totient is φ = 34072753152.

The previous prime is 85181884127. The next prime is 85181884169. The reversal of 85181884160 is 6148818158.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85181884099 and 85181884108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85181884169) 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 3 ways as a sum of consecutive naturals, for example, 33272894 + ... + 33275453.

Almost surely, 2^85181884160 is an apocalyptic number.

85181884160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85181884160 is an abundant number, since it is smaller than the sum of its proper divisors (118855350808).

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

85181884160 is an equidigital number, since it uses as much as digits as its factorization.

85181884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66548368 (or 66548354 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 50.

The spelling of 85181884160 in words is "eighty-five billion, one hundred eighty-one million, eight hundred eighty-four thousand, one hundred sixty".