8007162759072 has 288 divisors, whose sum is σ = 24232844877696. Its totient is φ = 2502339840000.

The previous prime is 8007162759067. The next prime is 8007162759073. The reversal of 8007162759072 is 2709572617008.

It is a happy number.

8007162759072 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 1 + 627 + 5 + 9 + 0 + 7 + 2 = 666.

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

It is a super-2 number, since 2×8007162759072² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8007162759073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368965822 + ... + 368987522.

It is an arithmetic number, because the mean of its divisors is an integer number (84141822492).

Almost surely, 2^{8007162759072} 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 8007162759072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12116422438848).

8007162759072 is an abundant number, since it is smaller than the sum of its proper divisors (16225682118624).

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

8007162759072 is a wasteful number, since it uses less digits than its factorization.

8007162759072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22844 (or 22833 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 8007162759072 in words is "eight trillion, seven billion, one hundred sixty-two million, seven hundred fifty-nine thousand, seventy-two".