85316039424 has 576 divisors, whose sum is σ = 324758568960. Its totient is φ = 21441024000.

The previous prime is 85316039399. The next prime is 85316039443. The reversal of 85316039424 is 42493061358.

85316039424 is a `hidden beast` number, since 8 + 5 + 31 + 603 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 85316039424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16496359 + ... + 16501529.

It is an arithmetic number, because the mean of its divisors is an integer number (563816960).

Almost surely, 2^85316039424 is an apocalyptic number.

85316039424 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 85316039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162379284480).

85316039424 is an abundant number, since it is smaller than the sum of its proper divisors (239442529536).

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

85316039424 is a wasteful number, since it uses less digits than its factorization.

85316039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 85316039424 in words is "eighty-five billion, three hundred sixteen million, thirty-nine thousand, four hundred twenty-four".