85382500368 has 160 divisors (see below), whose sum is σ = 246116247552. Its totient is φ = 25284544000.

The previous prime is 85382500327. The next prime is 85382500373. The reversal of 85382500368 is 86300528358.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19180543 + ... + 19184993.

Almost surely, 2^85382500368 is an apocalyptic number.

85382500368 is a gapful number since it is divisible by the number (88) 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 85382500368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123058123776).

85382500368 is an abundant number, since it is smaller than the sum of its proper divisors (160733747184).

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

85382500368 is a wasteful number, since it uses less digits than its factorization.

85382500368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 85382500368 in words is "eighty-five billion, three hundred eighty-two million, five hundred thousand, three hundred sixty-eight".