8250873120 has 576 divisors, whose sum is σ = 34431022080. Its totient is φ = 1757251584.

The previous prime is 8250873119. The next prime is 8250873167. The reversal of 8250873120 is 213780528.

8250873120 is a `hidden beast` number, since 82 + 508 + 73 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12831519 + ... + 12832161.

It is an arithmetic number, because the mean of its divisors is an integer number (59776080).

Almost surely, 2^8250873120 is an apocalyptic number.

8250873120 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 8250873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215511040).

8250873120 is an abundant number, since it is smaller than the sum of its proper divisors (26180148960).

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

8250873120 is a wasteful number, since it uses less digits than its factorization.

8250873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8250873120 is about 90834.3168631768. The cubic root of 8250873120 is about 2020.6912903721.

The spelling of 8250873120 in words is "eight billion, two hundred fifty million, eight hundred seventy-three thousand, one hundred twenty".