85208724120 has 256 divisors, whose sum is σ = 285003694080. Its totient is φ = 20238336000.

The previous prime is 85208724109. The next prime is 85208724137. The reversal of 85208724120 is 2142780258.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17745720 + ... + 17750520.

It is an arithmetic number, because the mean of its divisors is an integer number (1113295680).

Almost surely, 2^85208724120 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 85208724120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142501847040).

85208724120 is an abundant number, since it is smaller than the sum of its proper divisors (199794969960).

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

85208724120 is a wasteful number, since it uses less digits than its factorization.

85208724120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 85208724120 in words is "eighty-five billion, two hundred eight million, seven hundred twenty-four thousand, one hundred twenty".