8219275792896 has 960 divisors, whose sum is σ = 27586234368000. Its totient is φ = 2161143742464.

The previous prime is 8219275792883. The next prime is 8219275792961. The reversal of 8219275792896 is 6982975729128.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21460249921 + ... + 21460250303.

It is an arithmetic number, because the mean of its divisors is an integer number (28735660800).

Almost surely, 2^{8219275792896} is an apocalyptic number.

8219275792896 is a gapful number since it is divisible by the number (86) 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 8219275792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793117184000).

8219275792896 is an abundant number, since it is smaller than the sum of its proper divisors (19366958575104).

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

8219275792896 is a wasteful number, since it uses less digits than its factorization.

8219275792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 806 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 75.

The spelling of 8219275792896 in words is "eight trillion, two hundred nineteen billion, two hundred seventy-five million, seven hundred ninety-two thousand, eight hundred ninety-six".