85248334450440 has 576 divisors, whose sum is σ = 340661589840000. Its totient is φ = 18383175659520.

The previous prime is 85248334450427. The next prime is 85248334450529. The reversal of 85248334450440 is 4405443384258.

It is a happy number.

85248334450440 is a `hidden beast` number, since 8 + 5 + 24 + 8 + 33 + 44 + 504 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80245861 + ... + 81301259.

It is an arithmetic number, because the mean of its divisors is an integer number (591426371250).

Almost surely, 2^{85248334450440} 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 85248334450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170330794920000).

85248334450440 is an abundant number, since it is smaller than the sum of its proper divisors (255413255389560).

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

85248334450440 is a wasteful number, since it uses less digits than its factorization.

85248334450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055690 (or 1055676 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 85248334450440 in words is "eighty-five trillion, two hundred forty-eight billion, three hundred thirty-four million, four hundred fifty thousand, four hundred forty".