85150081440 has 576 divisors, whose sum is σ = 319024379520. Its totient is φ = 21207121920.

The previous prime is 85150081439. The next prime is 85150081453. The reversal of 85150081440 is 4418005158.

85150081440 is a `hidden beast` number, since 8 + 5 + 1 + 500 + 8 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85150081395 and 85150081404.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 300883539 + ... + 300883821.

It is an arithmetic number, because the mean of its divisors is an integer number (553861770).

Almost surely, 2^85150081440 is an apocalyptic number.

85150081440 is a gapful number since it is divisible by the number (80) 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 85150081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159512189760).

85150081440 is an abundant number, since it is smaller than the sum of its proper divisors (233874298080).

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

85150081440 is a wasteful number, since it uses less digits than its factorization.

85150081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 85150081440 its reverse (4418005158), we get a palindrome (89568086598).

The spelling of 85150081440 in words is "eighty-five billion, one hundred fifty million, eighty-one thousand, four hundred forty".