85490676096 has 128 divisors (see below), whose sum is σ = 263081011200. Its totient is φ = 24091250688.

The previous prime is 85490676077. The next prime is 85490676143. The reversal of 85490676096 is 69067609458.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21616 + ... + 414063.

It is an arithmetic number, because the mean of its divisors is an integer number (2055320400).

Almost surely, 2^85490676096 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 85490676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131540505600).

85490676096 is an abundant number, since it is smaller than the sum of its proper divisors (177590335104).

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

85490676096 is a wasteful number, since it uses less digits than its factorization.

85490676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435776 (or 435764 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 85490676096 in words is "eighty-five billion, four hundred ninety million, six hundred seventy-six thousand, ninety-six".