85812701184 has 1152 divisors, whose sum is σ = 330739718400. Its totient is φ = 22072393728.

The previous prime is 85812701123. The next prime is 85812701197. The reversal of 85812701184 is 48110721858.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3730986997 + ... + 3730987019.

It is an arithmetic number, because the mean of its divisors is an integer number (287100450).

Almost surely, 2^85812701184 is an apocalyptic number.

85812701184 is a gapful number since it is divisible by the number (84) 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 85812701184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165369859200).

85812701184 is an abundant number, since it is smaller than the sum of its proper divisors (244927017216).

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

85812701184 is an equidigital number, since it uses as much as digits as its factorization.

85812701184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 85812701184 in words is "eighty-five billion, eight hundred twelve million, seven hundred one thousand, one hundred eighty-four".