8027248897600 has 189 divisors, whose sum is σ = 19909169831187. Its totient is φ = 3185559060480.

The previous prime is 8027248897583. The next prime is 8027248897621. The reversal of 8027248897600 is 67988427208.

The square root of 8027248897600 is 2833240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1291023157824 + 6736225739776 = 1136232^2 + 2595424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21872612617 + ... + 21872612983.

Almost surely, 2^{8027248897600} is an apocalyptic number.

8027248897600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8027248897600 is the 2833240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027248897600

8027248897600 is an abundant number, since it is smaller than the sum of its proper divisors (11881920933587).

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

8027248897600 is an frugal number, since it uses more digits than its factorization.

8027248897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 61.

The spelling of 8027248897600 in words is "eight trillion, twenty-seven billion, two hundred forty-eight million, eight hundred ninety-seven thousand, six hundred".