5638272277248 has 216 divisors, whose sum is σ = 17519415433520. Its totient is φ = 1733625815040.

The previous prime is 5638272277237. The next prime is 5638272277273. The reversal of 5638272277248 is 8427722728365.

5638272277248 is a `hidden beast` number, since 5 + 6 + 382 + 7 + 2 + 2 + 7 + 7 + 248 = 666.

It is a super-2 number, since 2×5638272277248² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 42735543 + ... + 42867273.

Almost surely, 2^{5638272277248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5638272277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759707716760).

5638272277248 is an abundant number, since it is smaller than the sum of its proper divisors (11881143156272).

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

5638272277248 is a wasteful number, since it uses less digits than its factorization.

5638272277248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133195 (or 133178 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 5638272277248 in words is "five trillion, six hundred thirty-eight billion, two hundred seventy-two million, two hundred seventy-seven thousand, two hundred forty-eight".