8252459235792 has 240 divisors, whose sum is σ = 24639939192960. Its totient is φ = 2569383641088.

The previous prime is 8252459235697. The next prime is 8252459235851. The reversal of 8252459235792 is 2975329542528.

It is a happy number.

8252459235792 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 4 + 59 + 2 + 3 + 579 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197941573 + ... + 197983259.

It is an arithmetic number, because the mean of its divisors is an integer number (102666413304).

Almost surely, 2^{8252459235792} 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 8252459235792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319969596480).

8252459235792 is an abundant number, since it is smaller than the sum of its proper divisors (16387479957168).

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

8252459235792 is a wasteful number, since it uses less digits than its factorization.

8252459235792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42330 (or 42321 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 8252459235792 in words is "eight trillion, two hundred fifty-two billion, four hundred fifty-nine million, two hundred thirty-five thousand, seven hundred ninety-two".