85510111680 has 504 divisors, whose sum is σ = 350507167920. Its totient is φ = 19067166720.

The previous prime is 85510111679. The next prime is 85510111691. The reversal of 85510111680 is 8611101558.

85510111680 is a `hidden beast` number, since 8 + 551 + 0 + 11 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5778531 + ... + 5793309.

It is an arithmetic number, because the mean of its divisors is an integer number (695450730).

Almost surely, 2^85510111680 is an apocalyptic number.

85510111680 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 85510111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175253583960).

85510111680 is an abundant number, since it is smaller than the sum of its proper divisors (264997056240).

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

85510111680 is a wasteful number, since it uses less digits than its factorization.

85510111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 85510111680 in words is "eighty-five billion, five hundred ten million, one hundred eleven thousand, six hundred eighty".