85883280000 has 960 divisors, whose sum is σ = 339646903200. Its totient is φ = 19160064000.

The previous prime is 85883279987. The next prime is 85883280137. The reversal of 85883280000 is 8238858.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 787919946 + ... + 787920054.

Almost surely, 2^85883280000 is an apocalyptic number.

85883280000 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 85883280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169823451600).

85883280000 is an abundant number, since it is smaller than the sum of its proper divisors (253763623200).

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

85883280000 is a wasteful number, since it uses less digits than its factorization.

85883280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 85883280000 in words is "eighty-five billion, eight hundred eighty-three million, two hundred eighty thousand".