85124820760 has 256 divisors, whose sum is σ = 231745536000. Its totient is φ = 28099814400.

The previous prime is 85124820721. The next prime is 85124820769. The reversal of 85124820760 is 6702842158.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85124820769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111858780 + ... + 111859540.

It is an arithmetic number, because the mean of its divisors is an integer number (905256000).

Almost surely, 2^85124820760 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 85124820760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872768000).

85124820760 is an abundant number, since it is smaller than the sum of its proper divisors (146620715240).

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

85124820760 is a wasteful number, since it uses less digits than its factorization.

85124820760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 85124820760 in words is "eighty-five billion, one hundred twenty-four million, eight hundred twenty thousand, seven hundred sixty".