85326603264 has 528 divisors, whose sum is σ = 301108787200. Its totient is φ = 22729310208.

The previous prime is 85326603247. The next prime is 85326603287. The reversal of 85326603264 is 46230662358.

It is a happy number.

85326603264 is a `hidden beast` number, since 8 + 5 + 32 + 6 + 603 + 2 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82123257 + ... + 82124295.

Almost surely, 2^85326603264 is an apocalyptic number.

85326603264 is a gapful number since it is divisible by the number (84) 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 85326603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150554393600).

85326603264 is an abundant number, since it is smaller than the sum of its proper divisors (215782183936).

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

85326603264 is a wasteful number, since it uses less digits than its factorization.

85326603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 85326603264 in words is "eighty-five billion, three hundred twenty-six million, six hundred three thousand, two hundred sixty-four".