85968241956 has 72 divisors (see below), whose sum is σ = 218585805984. Its totient is φ = 28488096000.

The previous prime is 85968241951. The next prime is 85968241981. The reversal of 85968241956 is 65914286958.

85968241956 is a `hidden beast` number, since 8 + 5 + 96 + 82 + 419 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85968241893 and 85968241902.

It is not an unprimeable number, because it can be changed into a prime (85968241951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4933996 + ... + 4951388.

It is an arithmetic number, because the mean of its divisors is an integer number (3035913972).

Almost surely, 2^85968241956 is an apocalyptic number.

It is an amenable number.

85968241956 is an abundant number, since it is smaller than the sum of its proper divisors (132617564028).

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

85968241956 is a wasteful number, since it uses less digits than its factorization.

85968241956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18201 (or 18196 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 85968241956 in words is "eighty-five billion, nine hundred sixty-eight million, two hundred forty-one thousand, nine hundred fifty-six".