85825833984 has 352 divisors, whose sum is σ = 284085607680. Its totient is φ = 25369804800.

The previous prime is 85825833949. The next prime is 85825834001. The reversal of 85825833984 is 48933852858.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12465807 + ... + 12472689.

Almost surely, 2^85825833984 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 85825833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142042803840).

85825833984 is an abundant number, since it is smaller than the sum of its proper divisors (198259773696).

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

85825833984 is a wasteful number, since it uses less digits than its factorization.

85825833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6940 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 85825833984 in words is "eighty-five billion, eight hundred twenty-five million, eight hundred thirty-three thousand, nine hundred eighty-four".