8273583876096 has 1344 divisors, whose sum is σ = 31349464473600. Its totient is φ = 2119451443200.

The previous prime is 8273583876067. The next prime is 8273583876133. The reversal of 8273583876096 is 6906783853728.

It is a happy number.

8273583876096 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 5 + 8 + 3 + 8 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8273583876096² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9081869881 + ... + 9081870791.

It is an arithmetic number, because the mean of its divisors is an integer number (23325494400).

Almost surely, 2^{8273583876096} 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 8273583876096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674732236800).

8273583876096 is an abundant number, since it is smaller than the sum of its proper divisors (23075880597504).

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

8273583876096 is an equidigital number, since it uses as much as digits as its factorization.

8273583876096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 8273583876096 in words is "eight trillion, two hundred seventy-three billion, five hundred eighty-three million, eight hundred seventy-six thousand, ninety-six".