8151982580736 has 440 divisors, whose sum is σ = 25015832181120. Its totient is φ = 2642989989888.

The previous prime is 8151982580669. The next prime is 8151982580767. The reversal of 8151982580736 is 6370852891518.

8151982580736 is a `hidden beast` number, since 8 + 1 + 5 + 19 + 8 + 2 + 580 + 7 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 635427570 + ... + 635440398.

It is an arithmetic number, because the mean of its divisors is an integer number (56854164048).

Almost surely, 2^{8151982580736} 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 8151982580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507916090560).

8151982580736 is an abundant number, since it is smaller than the sum of its proper divisors (16863849600384).

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

8151982580736 is a wasteful number, since it uses less digits than its factorization.

8151982580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 8151982580736 in words is "eight trillion, one hundred fifty-one billion, nine hundred eighty-two million, five hundred eighty thousand, seven hundred thirty-six".