10973248000000 has 1092 divisors, whose sum is σ = 32766780189220. Its totient is φ = 3649536000000.

The previous prime is 10973247999949. The next prime is 10973248000069. The reversal of 10973248000000 is 84237901.

It can be written as a sum of positive squares in 14 ways, for example, as 8266407018496 + 2706840981504 = 2875136^2 + 1645248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10973248000000.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 100671999946 + ... + 100672000054.

Almost surely, 2^{10973248000000} is an apocalyptic number.

10973248000000 is a gapful number since it is divisible by the number (10) 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 10973248000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16383390094610).

10973248000000 is an abundant number, since it is smaller than the sum of its proper divisors (21793532189220).

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

10973248000000 is an frugal number, since it uses more digits than its factorization.

10973248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10973248000000 in words is "ten trillion, nine hundred seventy-three billion, two hundred forty-eight million", and thus it is an aban number.