8730519552 has 288 divisors, whose sum is σ = 26723118240. Its totient is φ = 2846638080.

The previous prime is 8730519533. The next prime is 8730519557. The reversal of 8730519552 is 2559150378.

8730519552 is a `hidden beast` number, since 87 + 3 + 0 + 5 + 19 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 8730519498 and 8730519507.

It is not an unprimeable number, because it can be changed into a prime (8730519557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26376027 + ... + 26376357.

It is an arithmetic number, because the mean of its divisors is an integer number (92788605).

Almost surely, 2^8730519552 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 8730519552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361559120).

8730519552 is an abundant number, since it is smaller than the sum of its proper divisors (17992598688).

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

8730519552 is an equidigital number, since it uses as much as digits as its factorization.

8730519552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 8730519552 is about 93437.2492745800. The cubic root of 8730519552 is about 2059.1122853732.

The spelling of 8730519552 in words is "eight billion, seven hundred thirty million, five hundred nineteen thousand, five hundred fifty-two".