8012975594040 has 384 divisors, whose sum is σ = 26754226012800. Its totient is φ = 2079185448960.

The previous prime is 8012975594017. The next prime is 8012975594051. The reversal of 8012975594040 is 404955792108.

It is a happy number.

8012975594040 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 9 + 7 + 5 + 594 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1754535837 + ... + 1754540403.

It is an arithmetic number, because the mean of its divisors is an integer number (69672463575).

Almost surely, 2^{8012975594040} 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 8012975594040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377113006400).

8012975594040 is an abundant number, since it is smaller than the sum of its proper divisors (18741250418760).

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

8012975594040 is a wasteful number, since it uses less digits than its factorization.

8012975594040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 8012975594040 in words is "eight trillion, twelve billion, nine hundred seventy-five million, five hundred ninety-four thousand, forty".