85640124800 has 192 divisors, whose sum is σ = 225657141840. Its totient is φ = 32002867200.

The previous prime is 85640124793. The next prime is 85640124821. The reversal of 85640124800 is 842104658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7447055 + ... + 7458545.

Almost surely, 2^85640124800 is an apocalyptic number.

85640124800 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 85640124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828570920).

85640124800 is an abundant number, since it is smaller than the sum of its proper divisors (140017017040).

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

85640124800 is a wasteful number, since it uses less digits than its factorization.

85640124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 85640124800 in words is "eighty-five billion, six hundred forty million, one hundred twenty-four thousand, eight hundred".