85888143360 has 312 divisors, whose sum is σ = 301948305984. Its totient is φ = 22577479680.

The previous prime is 85888143287. The next prime is 85888143361. The reversal of 85888143360 is 6334188858.

It is a junction number, because it is equal to n+sod(n) for n = 85888143297 and 85888143306.

It is not an unprimeable number, because it can be changed into a prime (85888143361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083439 + ... + 13090001.

It is an arithmetic number, because the mean of its divisors is an integer number (967783032).

Almost surely, 2^85888143360 is an apocalyptic number.

85888143360 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 85888143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150974152992).

85888143360 is an abundant number, since it is smaller than the sum of its proper divisors (216060162624).

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

85888143360 is a wasteful number, since it uses less digits than its factorization.

85888143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 85888143360 in words is "eighty-five billion, eight hundred eighty-eight million, one hundred forty-three thousand, three hundred sixty".