85065958824 has 192 divisors, whose sum is σ = 271537712640. Its totient is φ = 21958957440.

The previous prime is 85065958819. The next prime is 85065958829. The reversal of 85065958824 is 42885956058.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85065958819) and next prime (85065958829).

It is not an unprimeable number, because it can be changed into a prime (85065958829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2088397 + ... + 2128739.

It is an arithmetic number, because the mean of its divisors is an integer number (1414258920).

Almost surely, 2^85065958824 is an apocalyptic number.

85065958824 is a gapful number since it is divisible by the number (84) 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 85065958824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135768856320).

85065958824 is an abundant number, since it is smaller than the sum of its proper divisors (186471753816).

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

85065958824 is a wasteful number, since it uses less digits than its factorization.

85065958824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40540 (or 40529 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 85065958824 in words is "eighty-five billion, sixty-five million, nine hundred fifty-eight thousand, eight hundred twenty-four".