8085111552 has 288 divisors, whose sum is σ = 27675432960. Its totient is φ = 2308912128.

The previous prime is 8085111533. The next prime is 8085111599. The reversal of 8085111552 is 2551115808.

8085111552 is a `hidden beast` number, since 80 + 8 + 511 + 15 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918073 + ... + 3920135.

Almost surely, 2^8085111552 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 8085111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837716480).

8085111552 is an abundant number, since it is smaller than the sum of its proper divisors (19590321408).

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

8085111552 is an frugal number, since it uses more digits than its factorization.

8085111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 36.

The square root of 8085111552 is about 89917.2483564750. The cubic root of 8085111552 is about 2007.0676242573.

The spelling of 8085111552 in words is "eight billion, eighty-five million, one hundred eleven thousand, five hundred fifty-two".