8509876083072 has 768 divisors, whose sum is σ = 31287320064000. Its totient is φ = 2159682600960.

The previous prime is 8509876083053. The next prime is 8509876083113. The reversal of 8509876083072 is 2703806789058.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 581705454 + ... + 581720082.

It is an arithmetic number, because the mean of its divisors is an integer number (40738698000).

Almost surely, 2^{8509876083072} 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 8509876083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643660032000).

8509876083072 is an abundant number, since it is smaller than the sum of its proper divisors (22777443980928).

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

8509876083072 is a wasteful number, since it uses less digits than its factorization.

8509876083072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14879 (or 14864 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 8509876083072 in words is "eight trillion, five hundred nine billion, eight hundred seventy-six million, eighty-three thousand, seventy-two".