85809671520 has 96 divisors (see below), whose sum is σ = 279019883520. Its totient is φ = 22144427520.

The previous prime is 85809671503. The next prime is 85809671527. The reversal of 85809671520 is 2517690858.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×85809671520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85809671527) 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, 2868510 + ... + 2898269.

It is an arithmetic number, because the mean of its divisors is an integer number (2906457120).

Almost surely, 2^85809671520 is an apocalyptic number.

85809671520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85809671520 is an abundant number, since it is smaller than the sum of its proper divisors (193210212000).

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

85809671520 is a wasteful number, since it uses less digits than its factorization.

85809671520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766828 (or 5766820 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 85809671520 in words is "eighty-five billion, eight hundred nine million, six hundred seventy-one thousand, five hundred twenty".