85904326656 has 304 divisors, whose sum is σ = 260465781600. Its totient is φ = 27971813376.

The previous prime is 85904326637. The next prime is 85904326663. The reversal of 85904326656 is 65662340958.

85904326656 is a `hidden beast` number, since 8 + 590 + 43 + 2 + 6 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375127950 + ... + 375128178.

Almost surely, 2^85904326656 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 85904326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130232890800).

85904326656 is an abundant number, since it is smaller than the sum of its proper divisors (174561454944).

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

85904326656 is an frugal number, since it uses more digits than its factorization.

85904326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 85904326656 in words is "eighty-five billion, nine hundred four million, three hundred twenty-six thousand, six hundred fifty-six".