1288079724096 has 315 divisors, whose sum is σ = 4199874231553. Its totient is φ = 390054804480.

The previous prime is 1288079724083. The next prime is 1288079724097. The reversal of 1288079724096 is 6904279708821.

The square root of 1288079724096 is 1134936.

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

1288079724096 is a `hidden beast` number, since 12 + 8 + 80 + 79 + 72 + 409 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1068246273600 + 219833450496 = 1033560^2 + 468864^2 .

It is not an unprimeable number, because it can be changed into a prime (1288079724097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 898868596 + ... + 898870028.

Almost surely, 2^{1288079724096} is an apocalyptic number.

1288079724096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1288079724096 is the 1134936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288079724096

1288079724096 is an abundant number, since it is smaller than the sum of its proper divisors (2911794507457).

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

1288079724096 is an frugal number, since it uses more digits than its factorization.

1288079724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1288079724096 in words is "one trillion, two hundred eighty-eight billion, seventy-nine million, seven hundred twenty-four thousand, ninety-six".