8004130072512 has 672 divisors, whose sum is σ = 26407817379840. Its totient is φ = 2094729707520.

The previous prime is 8004130072501. The next prime is 8004130072513. The reversal of 8004130072512 is 2152700314008.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004130072513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2360402337 + ... + 2360405727.

Almost surely, 2^{8004130072512} 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 8004130072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13203908689920).

8004130072512 is an abundant number, since it is smaller than the sum of its proper divisors (18403687307328).

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

8004130072512 is a wasteful number, since it uses less digits than its factorization.

8004130072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 8004130072512 in words is "eight trillion, four billion, one hundred thirty million, seventy-two thousand, five hundred twelve".