8007287565872 has 160 divisors (see below), whose sum is σ = 18727769060352. Its totient is φ = 3244727227392.

The previous prime is 8007287565847. The next prime is 8007287565917. The reversal of 8007287565872 is 2785657827008.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8007287565799 and 8007287565808.

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, 34989773 + ... + 35217875.

Almost surely, 2^{8007287565872} 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 8007287565872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363884530176).

8007287565872 is an abundant number, since it is smaller than the sum of its proper divisors (10720481494480).

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

8007287565872 is a wasteful number, since it uses less digits than its factorization.

8007287565872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228395 (or 228389 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 65.

The spelling of 8007287565872 in words is "eight trillion, seven billion, two hundred eighty-seven million, five hundred sixty-five thousand, eight hundred seventy-two".