85837320384 has 112 divisors (see below), whose sum is σ = 237320498688. Its totient is φ = 27329753088.

The previous prime is 85837320347. The next prime is 85837320403. The reversal of 85837320384 is 48302373858.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 3197064 + ... + 3223800.

It is an arithmetic number, because the mean of its divisors is an integer number (2118933024).

Almost surely, 2^85837320384 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 85837320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118660249344).

85837320384 is an abundant number, since it is smaller than the sum of its proper divisors (151483178304).

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

85837320384 is a wasteful number, since it uses less digits than its factorization.

85837320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27502 (or 27492 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 85837320384 in words is "eighty-five billion, eight hundred thirty-seven million, three hundred twenty thousand, three hundred eighty-four".