85549919688 has 320 divisors, whose sum is σ = 259461945600. Its totient is φ = 26248199040.

The previous prime is 85549919681. The next prime is 85549919713. The reversal of 85549919688 is 88691994558.

85549919688 is a `hidden beast` number, since 8 + 5 + 549 + 9 + 19 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85549919681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 149824443 + ... + 149825013.

It is an arithmetic number, because the mean of its divisors is an integer number (810818580).

Almost surely, 2^85549919688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85549919688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129730972800).

85549919688 is an abundant number, since it is smaller than the sum of its proper divisors (173912025912).

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

85549919688 is a wasteful number, since it uses less digits than its factorization.

85549919688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 921 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 72.

The spelling of 85549919688 in words is "eighty-five billion, five hundred forty-nine million, nine hundred nineteen thousand, six hundred eighty-eight".