85751730000 has 200 divisors, whose sum is σ = 307576544000. Its totient is φ = 22867056000.

The previous prime is 85751729981. The next prime is 85751730007. The reversal of 85751730000 is 3715758.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751730007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111201 + ... + 428799.

It is an arithmetic number, because the mean of its divisors is an integer number (1537882720).

Almost surely, 2^85751730000 is an apocalyptic number.

85751730000 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 85751730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153788272000).

85751730000 is an abundant number, since it is smaller than the sum of its proper divisors (221824814000).

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

85751730000 is a wasteful number, since it uses less digits than its factorization.

85751730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317636 (or 317609 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 85751730000 in words is "eighty-five billion, seven hundred fifty-one million, seven hundred thirty thousand".