8087186644992 has 2520 divisors, whose sum is σ = 32546210455836. Its totient is φ = 1982502273024.

The previous prime is 8087186644987. The next prime is 8087186644993. The reversal of 8087186644992 is 2994466817808.

8087186644992 is a `hidden beast` number, since 8 + 0 + 8 + 71 + 8 + 6 + 64 + 499 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8034367574016 + 52819070976 = 2834496^2 + 229824^2 .

It is a super-2 number, since 2×8087186644992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8087186644992.

It is not an unprimeable number, because it can be changed into a prime (8087186644993) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 152588427238 + ... + 152588427290.

Almost surely, 2^{8087186644992} 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 8087186644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273105227918).

8087186644992 is an abundant number, since it is smaller than the sum of its proper divisors (24459023810844).

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

8087186644992 is a wasteful number, since it uses less digits than its factorization.

8087186644992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 8087186644992 in words is "eight trillion, eighty-seven billion, one hundred eighty-six million, six hundred forty-four thousand, nine hundred ninety-two".