85813617982096 has 45 divisors (see below), whose sum is σ = 175476620042121. Its totient is φ = 40648222397952.

The previous prime is 85813617982067. The next prime is 85813617982109. The reversal of 85813617982096 is 69028971631858.

The square root of 85813617982096 is 9263564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1023407396496 + 84790210585600 = 1011636^2 + 9208160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 703969920 + ... + 704091808.

Almost surely, 2^{85813617982096} is an apocalyptic number.

85813617982096 is the 9263564-th square number.

It is an amenable number.

85813617982096 is an abundant number, since it is smaller than the sum of its proper divisors (89663002060025).

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

85813617982096 is an frugal number, since it uses more digits than its factorization.

85813617982096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243824 (or 121910 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 73.

The spelling of 85813617982096 in words is "eighty-five trillion, eight hundred thirteen billion, six hundred seventeen million, nine hundred eighty-two thousand, ninety-six".