8125993008 has 240 divisors, whose sum is σ = 27403484160. Its totient is φ = 2298554496.

The previous prime is 8125992977. The next prime is 8125993027. The reversal of 8125993008 is 8003995218.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2178441 + ... + 2182167.

It is an arithmetic number, because the mean of its divisors is an integer number (114181184).

Almost surely, 2^8125993008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125993008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701742080).

8125993008 is an abundant number, since it is smaller than the sum of its proper divisors (19277491152).

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

8125993008 is a wasteful number, since it uses less digits than its factorization.

8125993008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8125993008 is about 90144.2899356360. The cubic root of 8125993008 is about 2010.4447757089. Note that the first 3 decimals are identical.

The spelling of 8125993008 in words is "eight billion, one hundred twenty-five million, nine hundred ninety-three thousand, eight".