8816892480 has 252 divisors, whose sum is σ = 33335334396. Its totient is φ = 2137344000.

The previous prime is 8816892457. The next prime is 8816892493. The reversal of 8816892480 is 842986188.

8816892480 is a `hidden beast` number, since 8 + 81 + 6 + 89 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 4390917696 = 66528^2 + 66264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335830 + ... + 361130.

It is an arithmetic number, because the mean of its divisors is an integer number (132283073).

Almost surely, 2^8816892480 is an apocalyptic number.

8816892480 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 8816892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667667198).

8816892480 is an abundant number, since it is smaller than the sum of its proper divisors (24518441916).

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

8816892480 is a wasteful number, since it uses less digits than its factorization.

8816892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25346 (or 25322 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 8816892480 is about 93898.3092499540. The cubic root of 8816892480 is about 2065.8804297946.

The spelling of 8816892480 in words is "eight billion, eight hundred sixteen million, eight hundred ninety-two thousand, four hundred eighty".