8016225352800 has 288 divisors, whose sum is σ = 29939180269824. Its totient is φ = 1824979200000.

The previous prime is 8016225352711. The next prime is 8016225352843. The reversal of 8016225352800 is 82535226108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3266290 + ... + 5167310.

It is an arithmetic number, because the mean of its divisors is an integer number (103955487048).

Almost surely, 2^{8016225352800} is an apocalyptic number.

8016225352800 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 8016225352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969590134912).

8016225352800 is an abundant number, since it is smaller than the sum of its proper divisors (21922954917024).

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

8016225352800 is a wasteful number, since it uses less digits than its factorization.

8016225352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901302 (or 1901289 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 8016225352800 in words is "eight trillion, sixteen billion, two hundred twenty-five million, three hundred fifty-two thousand, eight hundred".