85381431696 has 160 divisors (see below), whose sum is σ = 271122647040. Its totient is φ = 25508649600.

The previous prime is 85381431689. The next prime is 85381431757. The reversal of 85381431696 is 69613418358.

85381431696 is a `hidden beast` number, since 8 + 538 + 1 + 4 + 3 + 16 + 96 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 210861 + ... + 463923.

It is an arithmetic number, because the mean of its divisors is an integer number (1694516544).

Almost surely, 2^85381431696 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 85381431696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135561323520).

85381431696 is an abundant number, since it is smaller than the sum of its proper divisors (185741215344).

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

85381431696 is a wasteful number, since it uses less digits than its factorization.

85381431696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253162 (or 253150 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 85381431696 in words is "eighty-five billion, three hundred eighty-one million, four hundred thirty-one thousand, six hundred ninety-six".