85319498016 has 240 divisors, whose sum is σ = 262847870208. Its totient is φ = 27097804800.

The previous prime is 85319498009. The next prime is 85319498021. The reversal of 85319498016 is 61089491358.

85319498016 is a `hidden beast` number, since 8 + 531 + 9 + 4 + 98 + 0 + 16 = 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16153296 + ... + 16158576.

Almost surely, 2^85319498016 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 85319498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131423935104).

85319498016 is an abundant number, since it is smaller than the sum of its proper divisors (177528372192).

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

85319498016 is a wasteful number, since it uses less digits than its factorization.

85319498016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 85319498016 in words is "eighty-five billion, three hundred nineteen million, four hundred ninety-eight thousand, sixteen".