85665555360 has 1728 divisors, whose sum is σ = 403610014080. Its totient is φ = 16303472640.

The previous prime is 85665555329. The next prime is 85665555383. The reversal of 85665555360 is 6355556658.

85665555360 is a `hidden beast` number, since 8 + 56 + 6 + 5 + 55 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85665555297 and 85665555306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 545640402 + ... + 545640558.

It is an arithmetic number, because the mean of its divisors is an integer number (233570610).

Almost surely, 2^85665555360 is an apocalyptic number.

85665555360 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 85665555360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201805007040).

85665555360 is an abundant number, since it is smaller than the sum of its proper divisors (317944458720).

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

85665555360 is a wasteful number, since it uses less digits than its factorization.

85665555360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 16200000, while the sum is 54.

The spelling of 85665555360 in words is "eighty-five billion, six hundred sixty-five million, five hundred fifty-five thousand, three hundred sixty".