8085211509888 has 320 divisors, whose sum is σ = 24295928025600. Its totient is φ = 2668936200192.

The previous prime is 8085211509871. The next prime is 8085211509919. The reversal of 8085211509888 is 8889051125808.

8085211509888 is a `hidden beast` number, since 8 + 0 + 8 + 521 + 15 + 0 + 98 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446219293 + ... + 446237411.

It is an arithmetic number, because the mean of its divisors is an integer number (75924775080).

Almost surely, 2^{8085211509888} 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 8085211509888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147964012800).

8085211509888 is an abundant number, since it is smaller than the sum of its proper divisors (16210716515712).

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

8085211509888 is a wasteful number, since it uses less digits than its factorization.

8085211509888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18561 (or 18540 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 63.

The spelling of 8085211509888 in words is "eight trillion, eighty-five billion, two hundred eleven million, five hundred nine thousand, eight hundred eighty-eight".