5208797626272 has 288 divisors, whose sum is σ = 15814247904000. Its totient is φ = 1621516216320.

The previous prime is 5208797626243. The next prime is 5208797626283. The reversal of 5208797626272 is 2726267978025.

5208797626272 is a `hidden beast` number, since 5 + 208 + 79 + 76 + 26 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5208797626272² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285733254 + ... + 285751482.

It is an arithmetic number, because the mean of its divisors is an integer number (54910583000).

Almost surely, 2^{5208797626272} 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 5208797626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907123952000).

5208797626272 is an abundant number, since it is smaller than the sum of its proper divisors (10605450277728).

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

5208797626272 is a wasteful number, since it uses less digits than its factorization.

5208797626272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19004 (or 18993 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5208797626272 in words is "five trillion, two hundred eight billion, seven hundred ninety-seven million, six hundred twenty-six thousand, two hundred seventy-two".