85185644544 has 1536 divisors, whose sum is σ = 361041408000. Its totient is φ = 19349176320.

The previous prime is 85185644447. The next prime is 85185644611. The reversal of 85185644544 is 44544658158.

85185644544 is a `hidden beast` number, since 8 + 5 + 1 + 8 + 56 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4483454967 + ... + 4483454985.

It is an arithmetic number, because the mean of its divisors is an integer number (235053000).

Almost surely, 2^85185644544 is an apocalyptic number.

85185644544 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 85185644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180520704000).

85185644544 is an abundant number, since it is smaller than the sum of its proper divisors (275855763456).

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

85185644544 is a wasteful number, since it uses less digits than its factorization.

85185644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

The spelling of 85185644544 in words is "eighty-five billion, one hundred eighty-five million, six hundred forty-four thousand, five hundred forty-four".