8243254088160 has 768 divisors, whose sum is σ = 32770860208128. Its totient is φ = 1695109939200.

The previous prime is 8243254088123. The next prime is 8243254088177. The reversal of 8243254088160 is 618804523428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2591401770 + ... + 2591404950.

It is an arithmetic number, because the mean of its divisors is an integer number (42670390896).

Almost surely, 2^{8243254088160} is an apocalyptic number.

8243254088160 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 8243254088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385430104064).

8243254088160 is an abundant number, since it is smaller than the sum of its proper divisors (24527606119968).

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

8243254088160 is a wasteful number, since it uses less digits than its factorization.

8243254088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 8243254088160 in words is "eight trillion, two hundred forty-three billion, two hundred fifty-four million, eighty-eight thousand, one hundred sixty".