85242967960 has 96 divisors (see below), whose sum is σ = 198598014000. Its totient is φ = 32928249600.

The previous prime is 85242967951. The next prime is 85242968009. The reversal of 85242967960 is 6976924258.

It is a junction number, because it is equal to n+sod(n) for n = 85242967895 and 85242967904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20793991 + ... + 20798089.

Almost surely, 2^85242967960 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 85242967960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99299007000).

85242967960 is an abundant number, since it is smaller than the sum of its proper divisors (113355046040).

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

85242967960 is a wasteful number, since it uses less digits than its factorization.

85242967960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 85242967960 in words is "eighty-five billion, two hundred forty-two million, nine hundred sixty-seven thousand, nine hundred sixty".