8251265880 has 480 divisors, whose sum is σ = 32849031600. Its totient is φ = 1845296640.

The previous prime is 8251265879. The next prime is 8251265899. The reversal of 8251265880 is 885621528.

8251265880 is a `hidden beast` number, since 8 + 2 + 512 + 6 + 58 + 80 = 666.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5095711 + ... + 5097329.

Almost surely, 2^8251265880 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 8251265880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424515800).

8251265880 is an abundant number, since it is smaller than the sum of its proper divisors (24597765720).

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

8251265880 is a wasteful number, since it uses less digits than its factorization.

8251265880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 8251265880 is about 90836.4787956909. The cubic root of 8251265880 is about 2020.7233530038.

The spelling of 8251265880 in words is "eight billion, two hundred fifty-one million, two hundred sixty-five thousand, eight hundred eighty".