85640808960 has 960 divisors, whose sum is σ = 354913498368. Its totient is φ = 18678546432.

The previous prime is 85640808941. The next prime is 85640808973. The reversal of 85640808960 is 6980804658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 85640808897 and 85640808906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367557004 + ... + 367557236.

Almost surely, 2^85640808960 is an apocalyptic number.

85640808960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85640808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177456749184).

85640808960 is an abundant number, since it is smaller than the sum of its proper divisors (269272689408).

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

85640808960 is a wasteful number, since it uses less digits than its factorization.

85640808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 85640808960 in words is "eighty-five billion, six hundred forty million, eight hundred eight thousand, nine hundred sixty".