8488126080 has 896 divisors, whose sum is σ = 36603083520. Its totient is φ = 1839366144.

The previous prime is 8488126051. The next prime is 8488126093. The reversal of 8488126080 is 806218848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 75116104 + ... + 75116216.

Almost surely, 2^8488126080 is an apocalyptic number.

8488126080 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 8488126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301541760).

8488126080 is an abundant number, since it is smaller than the sum of its proper divisors (28114957440).

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

8488126080 is a wasteful number, since it uses less digits than its factorization.

8488126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 8488126080 is about 92131.0266956795. The cubic root of 8488126080 is about 2039.8768091699.

The spelling of 8488126080 in words is "eight billion, four hundred eighty-eight million, one hundred twenty-six thousand, eighty".