85144719360 has 416 divisors, whose sum is σ = 287893336320. Its totient is φ = 21442330624.

The previous prime is 85144719313. The next prime is 85144719389. The reversal of 85144719360 is 6391744158.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125767342 + ... + 125768018.

Almost surely, 2^85144719360 is an apocalyptic number.

85144719360 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 85144719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143946668160).

85144719360 is an abundant number, since it is smaller than the sum of its proper divisors (202748616960).

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

85144719360 is a wasteful number, since it uses less digits than its factorization.

85144719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 85144719360 in words is "eighty-five billion, one hundred forty-four million, seven hundred nineteen thousand, three hundred sixty".