8004053225376 has 576 divisors, whose sum is σ = 25382256681600. Its totient is φ = 2376590450688.

The previous prime is 8004053225341. The next prime is 8004053225393. The reversal of 8004053225376 is 6735223504008.

8004053225376 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 0 + 53 + 225 + 376 = 666.

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, 12930618795 + ... + 12930619413.

It is an arithmetic number, because the mean of its divisors is an integer number (44066417850).

Almost surely, 2^{8004053225376} 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 8004053225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691128340800).

8004053225376 is an abundant number, since it is smaller than the sum of its proper divisors (17378203456224).

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

8004053225376 is a wasteful number, since it uses less digits than its factorization.

8004053225376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 8004053225376 in words is "eight trillion, four billion, fifty-three million, two hundred twenty-five thousand, three hundred seventy-six".