8248257120 has 48 divisors (see below), whose sum is σ = 25982011440. Its totient is φ = 2199535104.

The previous prime is 8248257089. The next prime is 8248257137. The reversal of 8248257120 is 217528428.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8591455 + ... + 8592414.

It is an arithmetic number, because the mean of its divisors is an integer number (541291905).

Almost surely, 2^8248257120 is an apocalyptic number.

8248257120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8248257120 is an abundant number, since it is smaller than the sum of its proper divisors (17733754320).

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

8248257120 is a wasteful number, since it uses less digits than its factorization.

8248257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17183887 (or 17183879 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8248257120 is about 90819.9158775210. The cubic root of 8248257120 is about 2020.4777094534.

The spelling of 8248257120 in words is "eight billion, two hundred forty-eight million, two hundred fifty-seven thousand, one hundred twenty".