85505010832560 has 80 divisors (see below), whose sum is σ = 289162400279040. Its totient is φ = 20728487473920.

The previous prime is 85505010832523. The next prime is 85505010832561. The reversal of 85505010832560 is 6523801050558.

85505010832560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×85505010832560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85505010832561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16194128200 + ... + 16194133479.

It is an arithmetic number, because the mean of its divisors is an integer number (3614530003488).

Almost surely, 2^{85505010832560} is an apocalyptic number.

85505010832560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85505010832560 is an abundant number, since it is smaller than the sum of its proper divisors (203657389446480).

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

85505010832560 is a wasteful number, since it uses less digits than its factorization.

85505010832560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32388261706 (or 32388261700 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 85505010832560 in words is "eighty-five trillion, five hundred five billion, ten million, eight hundred thirty-two thousand, five hundred sixty".