85035899520 has 640 divisors, whose sum is σ = 356800308480. Its totient is φ = 19027353600.

The previous prime is 85035899477. The next prime is 85035899561. The reversal of 85035899520 is 2599853058.

85035899520 is a `hidden beast` number, since 8 + 5 + 0 + 3 + 589 + 9 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×85035899520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7407385 + ... + 7418855.

It is an arithmetic number, because the mean of its divisors is an integer number (557500482).

Almost surely, 2^85035899520 is an apocalyptic number.

85035899520 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 85035899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178400154240).

85035899520 is an abundant number, since it is smaller than the sum of its proper divisors (271764408960).

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

85035899520 is a wasteful number, since it uses less digits than its factorization.

85035899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 11505 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 85035899520 in words is "eighty-five billion, thirty-five million, eight hundred ninety-nine thousand, five hundred twenty".