85532458368 has 256 divisors, whose sum is σ = 267886794240. Its totient is φ = 23668899840.

The previous prime is 85532458339. The next prime is 85532458373. The reversal of 85532458368 is 86385423558.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 23171403 + ... + 23175093.

It is an arithmetic number, because the mean of its divisors is an integer number (1046432790).

Almost surely, 2^85532458368 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 85532458368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133943397120).

85532458368 is an abundant number, since it is smaller than the sum of its proper divisors (182354335872).

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

85532458368 is a wasteful number, since it uses less digits than its factorization.

85532458368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3973 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 57.

The spelling of 85532458368 in words is "eighty-five billion, five hundred thirty-two million, four hundred fifty-eight thousand, three hundred sixty-eight".