8252098145280 has 880 divisors, whose sum is σ = 32350189031424. Its totient is φ = 1994862919680.

The previous prime is 8252098145257. The next prime is 8252098145287. The reversal of 8252098145280 is 825418902528.

8252098145280 is a `hidden beast` number, since 8 + 2 + 5 + 20 + 98 + 1 + 4 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8252098145287) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1747212999 + ... + 1747217721.

Almost surely, 2^{8252098145280} is an apocalyptic number.

8252098145280 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 8252098145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175094515712).

8252098145280 is an abundant number, since it is smaller than the sum of its proper divisors (24098090886144).

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

8252098145280 is a wasteful number, since it uses less digits than its factorization.

8252098145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 8252098145280 in words is "eight trillion, two hundred fifty-two billion, ninety-eight million, one hundred forty-five thousand, two hundred eighty".