85808000101520 has 40 divisors (see below), whose sum is σ = 203267819118456. Its totient is φ = 33675592491008.

The previous prime is 85808000101403. The next prime is 85808000101531. The reversal of 85808000101520 is 2510100080858.

It can be written as a sum of positive squares in 4 ways, for example, as 23333266524304 + 62474733577216 = 4830452^2 + 7904096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10118863697 + ... + 10118872176.

Almost surely, 2^{85808000101520} is an apocalyptic number.

85808000101520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85808000101520 is an abundant number, since it is smaller than the sum of its proper divisors (117459819016936).

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

85808000101520 is a wasteful number, since it uses less digits than its factorization.

85808000101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20237735939 (or 20237735933 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 38.

The spelling of 85808000101520 in words is "eighty-five trillion, eight hundred eight billion, one hundred one thousand, five hundred twenty".