85884682968 has 480 divisors, whose sum is σ = 304778430000. Its totient is φ = 22440789504.

The previous prime is 85884682951. The next prime is 85884682993. The reversal of 85884682968 is 86928648858.

85884682968 is a `hidden beast` number, since 8 + 5 + 88 + 468 + 29 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85884682896 and 85884682905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17492898 + ... + 17497806.

Almost surely, 2^85884682968 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 85884682968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152389215000).

85884682968 is an abundant number, since it is smaller than the sum of its proper divisors (218893747032).

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

85884682968 is a wasteful number, since it uses less digits than its factorization.

85884682968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4969 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 72.

It can be divided in two parts, 8588 and 4682968, that added together give a square (4691556 = 2166²).

The spelling of 85884682968 in words is "eighty-five billion, eight hundred eighty-four million, six hundred eighty-two thousand, nine hundred sixty-eight".