85968617952 has 96 divisors (see below), whose sum is σ = 259874866944. Its totient is φ = 24374937600.

The previous prime is 85968617951. The next prime is 85968617963. The reversal of 85968617952 is 25971686958.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85968617951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400249 + ... + 576312.

It is an arithmetic number, because the mean of its divisors is an integer number (2707029864).

Almost surely, 2^85968617952 is an apocalyptic number.

It is an amenable number.

85968617952 is an abundant number, since it is smaller than the sum of its proper divisors (173906248992).

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

85968617952 is a wasteful number, since it uses less digits than its factorization.

85968617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976712 (or 976704 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 66.

The spelling of 85968617952 in words is "eighty-five billion, nine hundred sixty-eight million, six hundred seventeen thousand, nine hundred fifty-two".