85535871960 has 512 divisors, whose sum is σ = 345689856000. Its totient is φ = 16726671360.

The previous prime is 85535871931. The next prime is 85535871991. The reversal of 85535871960 is 6917853558.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85535871960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7691364 + ... + 7702476.

It is an arithmetic number, because the mean of its divisors is an integer number (675175500).

Almost surely, 2^85535871960 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 85535871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172844928000).

85535871960 is an abundant number, since it is smaller than the sum of its proper divisors (260153984040).

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

85535871960 is a wasteful number, since it uses less digits than its factorization.

85535871960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 85535871960 in words is "eighty-five billion, five hundred thirty-five million, eight hundred seventy-one thousand, nine hundred sixty".