8808625428480 has 1152 divisors, whose sum is σ = 32593189224960. Its totient is φ = 2280814018560.

The previous prime is 8808625428467. The next prime is 8808625428481. The reversal of 8808625428480 is 848245268088.

8808625428480 is a `hidden beast` number, since 8 + 8 + 0 + 8 + 6 + 2 + 542 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×8808625428480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8808625428481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12896962219 + ... + 12896962901.

It is an arithmetic number, because the mean of its divisors is an integer number (28292698980).

Almost surely, 2^{8808625428480} is an apocalyptic number.

8808625428480 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 8808625428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296594612480).

8808625428480 is an abundant number, since it is smaller than the sum of its proper divisors (23784563796480).

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

8808625428480 is an equidigital number, since it uses as much as digits as its factorization.

8808625428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 63.

The spelling of 8808625428480 in words is "eight trillion, eight hundred eight billion, six hundred twenty-five million, four hundred twenty-eight thousand, four hundred eighty".