8225654548320 has 576 divisors, whose sum is σ = 32431750880256. Its totient is φ = 1951665684480.

The previous prime is 8225654548313. The next prime is 8225654548351. The reversal of 8225654548320 is 238454565228.

8225654548320 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 65 + 4 + 548 + 32 + 0 = 666.

It is a super-2 number, since 2×8225654548320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 19896352 + ... + 20305568.

It is an arithmetic number, because the mean of its divisors is an integer number (56305123056).

Almost surely, 2^{8225654548320} is an apocalyptic number.

8225654548320 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 8225654548320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215875440128).

8225654548320 is an abundant number, since it is smaller than the sum of its proper divisors (24206096331936).

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

8225654548320 is a wasteful number, since it uses less digits than its factorization.

8225654548320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409305 (or 409285 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 8225654548320 in words is "eight trillion, two hundred twenty-five billion, six hundred fifty-four million, five hundred forty-eight thousand, three hundred twenty".