85873817760 has 144 divisors (see below), whose sum is σ = 277263671328. Its totient is φ = 22340945920.

The previous prime is 85873817759. The next prime is 85873817797. The reversal of 85873817760 is 6771837858.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 85873817694 and 85873817703.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753667 + ... + 860093.

It is an arithmetic number, because the mean of its divisors is an integer number (1925442162).

Almost surely, 2^85873817760 is an apocalyptic number.

85873817760 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 85873817760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138631835664).

85873817760 is an abundant number, since it is smaller than the sum of its proper divisors (191389853568).

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

85873817760 is a wasteful number, since it uses less digits than its factorization.

85873817760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106527 (or 106478 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 85873817760 in words is "eighty-five billion, eight hundred seventy-three million, eight hundred seventeen thousand, seven hundred sixty".