85841849520 has 1920 divisors, whose sum is σ = 400602931200. Its totient is φ = 16930529280.

The previous prime is 85841849453. The next prime is 85841849543. The reversal of 85841849520 is 2594814858.

85841849520 is a `hidden beast` number, since 8 + 584 + 1 + 8 + 4 + 9 + 52 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 2769091905 + ... + 2769091935.

It is an arithmetic number, because the mean of its divisors is an integer number (208647360).

Almost surely, 2^85841849520 is an apocalyptic number.

85841849520 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 85841849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200301465600).

85841849520 is an abundant number, since it is smaller than the sum of its proper divisors (314761081680).

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

85841849520 is a wasteful number, since it uses less digits than its factorization.

85841849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 85841849520 in words is "eighty-five billion, eight hundred forty-one million, eight hundred forty-nine thousand, five hundred twenty".