8087775015936 has 1056 divisors, whose sum is σ = 28399373438976. Its totient is φ = 1987072819200.

The previous prime is 8087775015863. The next prime is 8087775015941. The reversal of 8087775015936 is 6395105777808.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10683982470 + ... + 10683983226.

Almost surely, 2^{8087775015936} 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 8087775015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199686719488).

8087775015936 is an abundant number, since it is smaller than the sum of its proper divisors (20311598423040).

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

8087775015936 is a wasteful number, since it uses less digits than its factorization.

8087775015936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 66.

The spelling of 8087775015936 in words is "eight trillion, eighty-seven billion, seven hundred seventy-five million, fifteen thousand, nine hundred thirty-six".