8119287072000 has 2016 divisors, whose sum is σ = 33505857324576. Its totient is φ = 1946861568000.

The previous prime is 8119287071971. The next prime is 8119287072019. The reversal of 8119287072000 is 2707829118.

It can be written as a sum of positive squares in 16 ways, for example, as 8102266216704 + 17020855296 = 2846448^2 + 130464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12433823674 + ... + 12433824326.

It is an arithmetic number, because the mean of its divisors is an integer number (16619968911).

Almost surely, 2^{8119287072000} is an apocalyptic number.

8119287072000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8119287072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752928662288).

8119287072000 is an abundant number, since it is smaller than the sum of its proper divisors (25386570252576).

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

8119287072000 is an equidigital number, since it uses as much as digits as its factorization.

8119287072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 8119287072000 in words is "eight trillion, one hundred nineteen billion, two hundred eighty-seven million, seventy-two thousand".