8251038120 has 256 divisors, whose sum is σ = 27978209280. Its totient is φ = 1932595200.

The previous prime is 8251038091. The next prime is 8251038143. The reversal of 8251038120 is 218301528.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2948562 + ... + 2951358.

It is an arithmetic number, because the mean of its divisors is an integer number (109289880).

Almost surely, 2^8251038120 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 8251038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989104640).

8251038120 is an abundant number, since it is smaller than the sum of its proper divisors (19727171160).

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

8251038120 is a wasteful number, since it uses less digits than its factorization.

8251038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8251038120 is about 90835.2251056824. The cubic root of 8251038120 is about 2020.7047601320.

Adding to 8251038120 its reverse (218301528), we get a palindrome (8469339648).

The spelling of 8251038120 in words is "eight billion, two hundred fifty-one million, thirty-eight thousand, one hundred twenty".