85460189184 has 340 divisors, whose sum is σ = 270628060824. Its totient is φ = 26782728192.

The previous prime is 85460189173. The next prime is 85460189203. The reversal of 85460189184 is 48198106458.

It is a happy number.

85460189184 is a `hidden beast` number, since 8 + 5 + 460 + 18 + 91 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85460189184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90242599 + ... + 90243545.

Almost surely, 2^85460189184 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 85460189184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135314030412).

85460189184 is an abundant number, since it is smaller than the sum of its proper divisors (185167871640).

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

85460189184 is an frugal number, since it uses more digits than its factorization.

85460189184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 85460189184 in words is "eighty-five billion, four hundred sixty million, one hundred eighty-nine thousand, one hundred eighty-four".