85839193440 has 2304 divisors, whose sum is σ = 433672372224. Its totient is φ = 14863564800.

The previous prime is 85839193439. The next prime is 85839193441. The reversal of 85839193440 is 4439193858.

85839193440 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 9 + 193 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (85839193439) and next prime (85839193441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85839193441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 759638824 + ... + 759638936.

It is an arithmetic number, because the mean of its divisors is an integer number (188225856).

Almost surely, 2^85839193440 is an apocalyptic number.

85839193440 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 85839193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216836186112).

85839193440 is an abundant number, since it is smaller than the sum of its proper divisors (347833178784).

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

85839193440 is a wasteful number, since it uses less digits than its factorization.

85839193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 85839193440 in words is "eighty-five billion, eight hundred thirty-nine million, one hundred ninety-three thousand, four hundred forty".