85883328000 has 400 divisors, whose sum is σ = 319930532064. Its totient is φ = 22900838400.

The previous prime is 85883327989. The next prime is 85883328017. The reversal of 85883328000 is 82338858.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5175717 + ... + 5192283.

Almost surely, 2^85883328000 is an apocalyptic number.

85883328000 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 85883328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159965266032).

85883328000 is an abundant number, since it is smaller than the sum of its proper divisors (234047204064).

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

85883328000 is an equidigital number, since it uses as much as digits as its factorization.

85883328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16612 (or 16577 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85883328000 in words is "eighty-five billion, eight hundred eighty-three million, three hundred twenty-eight thousand".