8048072000000 has 630 divisors, whose sum is σ = 21720229809531. Its totient is φ = 2978508800000.

The previous prime is 8048071999991. The next prime is 8048072000011. The reversal of 8048072000000 is 2708408.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 5060484200704 + 2987587799296 = 2249552^2 + 1728464^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2006000.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 136407999971 + ... + 136408000029.

Almost surely, 2^{8048072000000} is an apocalyptic number.

8048072000000 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 8048072000000

8048072000000 is an abundant number, since it is smaller than the sum of its proper divisors (13672157809531).

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

8048072000000 is an frugal number, since it uses more digits than its factorization.

8048072000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 8048072000000 its reverse (2708408), we get a palindrome (8048074708408).

The spelling of 8048072000000 in words is "eight trillion, forty-eight billion, seventy-two million", and thus it is an aban number and an uban number.