8815268880 has 800 divisors, whose sum is σ = 36816215040. Its totient is φ = 1929692160.

The previous prime is 8815268873. The next prime is 8815268887. The reversal of 8815268880 is 888625188.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8815268873) and next prime (8815268887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8815268887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31149219 + ... + 31149501.

Almost surely, 2^8815268880 is an apocalyptic number.

8815268880 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 8815268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408107520).

8815268880 is an abundant number, since it is smaller than the sum of its proper divisors (28000946160).

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

8815268880 is a wasteful number, since it uses less digits than its factorization.

8815268880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The square root of 8815268880 is about 93889.6633288244. The cubic root of 8815268880 is about 2065.7536137846.

The spelling of 8815268880 in words is "eight billion, eight hundred fifteen million, two hundred sixty-eight thousand, eight hundred eighty".