8810580480 has 640 divisors, whose sum is σ = 33410361600. Its totient is φ = 1959788544.

The previous prime is 8810580433. The next prime is 8810580593. The reversal of 8810580480 is 840850188.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49221031 + ... + 49221209.

It is an arithmetic number, because the mean of its divisors is an integer number (52203690).

Almost surely, 2^8810580480 is an apocalyptic number.

8810580480 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 8810580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705180800).

8810580480 is an abundant number, since it is smaller than the sum of its proper divisors (24599781120).

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

8810580480 is a wasteful number, since it uses less digits than its factorization.

8810580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 8810580480 is about 93864.6924034804. The cubic root of 8810580480 is about 2065.3873252125.

The spelling of 8810580480 in words is "eight billion, eight hundred ten million, five hundred eighty thousand, four hundred eighty".