85081875348096 has 1024 divisors, whose sum is σ = 289547628480000. Its totient is φ = 24662137651200.

The previous prime is 85081875348073. The next prime is 85081875348109. The reversal of 85081875348096 is 69084357818058.

85081875348096 is a `hidden beast` number, since 8 + 5 + 0 + 8 + 1 + 8 + 7 + 53 + 480 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9733650286 + ... + 9733659026.

Almost surely, 2^{85081875348096} 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 85081875348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144773814240000).

85081875348096 is an abundant number, since it is smaller than the sum of its proper divisors (204465753131904).

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

85081875348096 is a wasteful number, since it uses less digits than its factorization.

85081875348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 85081875348096 in words is "eighty-five trillion, eighty-one billion, eight hundred seventy-five million, three hundred forty-eight thousand, ninety-six".