8245250496000 has 3840 divisors, whose sum is σ = 38144238612480. Its totient is φ = 1734259507200.

The previous prime is 8245250495983. The next prime is 8245250496017. The reversal of 8245250496000 is 6940525428.

8245250496000 is a `hidden beast` number, since 8 + 2 + 4 + 52 + 504 + 96 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8245250495983) and next prime (8245250496017).

It is a tau number, because it is divible by the number of its divisors (3840).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92643263956 + ... + 92643264044.

It is an arithmetic number, because the mean of its divisors is an integer number (9933395472).

Almost surely, 2^{8245250496000} is an apocalyptic number.

8245250496000 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 8245250496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072119306240).

8245250496000 is an abundant number, since it is smaller than the sum of its proper divisors (29898988116480).

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

8245250496000 is an equidigital number, since it uses as much as digits as its factorization.

8245250496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 8245250496000 in words is "eight trillion, two hundred forty-five billion, two hundred fifty million, four hundred ninety-six thousand".