85817941440 has 1792 divisors, whose sum is σ = 386242560000. Its totient is φ = 15931883520.

The previous prime is 85817941403. The next prime is 85817941441. The reversal of 85817941440 is 4414971858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85817941441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1995766059 + ... + 1995766101.

Almost surely, 2^85817941440 is an apocalyptic number.

85817941440 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 85817941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280000).

85817941440 is an abundant number, since it is smaller than the sum of its proper divisors (300424618560).

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

85817941440 is a wasteful number, since it uses less digits than its factorization.

85817941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 85817941440 in words is "eighty-five billion, eight hundred seventeen million, nine hundred forty-one thousand, four hundred forty".