85661146824 has 256 divisors, whose sum is σ = 255072706560. Its totient is φ = 23705088000.

The previous prime is 85661146819. The next prime is 85661146849. The reversal of 85661146824 is 42864116658.

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, 11697084 + ... + 11704404.

It is an arithmetic number, because the mean of its divisors is an integer number (996377760).

Almost surely, 2^85661146824 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 85661146824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127536353280).

85661146824 is an abundant number, since it is smaller than the sum of its proper divisors (169411559736).

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

85661146824 is a wasteful number, since it uses less digits than its factorization.

85661146824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7448 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 85661146824 in words is "eighty-five billion, six hundred sixty-one million, one hundred forty-six thousand, eight hundred twenty-four".