85326000400 has 60 divisors (see below), whose sum is σ = 205288823844. Its totient is φ = 34081600000.

The previous prime is 85326000379. The next prime is 85326000443. The reversal of 85326000400 is 400062358.

It can be written as a sum of positive squares in 6 ways, for example, as 2697348096 + 82628652304 = 51936^2 + 287452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128250 + ... + 432550.

Almost surely, 2^85326000400 is an apocalyptic number.

85326000400 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 85326000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102644411922).

85326000400 is an abundant number, since it is smaller than the sum of its proper divisors (119962823444).

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

85326000400 is a wasteful number, since it uses less digits than its factorization.

85326000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305020 (or 305009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 85326000400 its reverse (400062358), we get a palindrome (85726062758).

The spelling of 85326000400 in words is "eighty-five billion, three hundred twenty-six million, four hundred", and thus it is an aban number.