5263980226560 has 2304 divisors, whose sum is σ = 22254240153600. Its totient is φ = 1135765094400.

The previous prime is 5263980226513. The next prime is 5263980226567. The reversal of 5263980226560 is 656220893625.

5263980226560 is a `hidden beast` number, since 5 + 26 + 39 + 8 + 0 + 2 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×5263980226560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5263980226497 and 5263980226506.

It is not an unprimeable number, because it can be changed into a prime (5263980226567) 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 191 ways as a sum of consecutive naturals, for example, 31520839597 + ... + 31520839763.

It is an arithmetic number, because the mean of its divisors is an integer number (9658958400).

Almost surely, 2^{5263980226560} 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 5263980226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127120076800).

5263980226560 is an abundant number, since it is smaller than the sum of its proper divisors (16990259927040).

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

5263980226560 is a wasteful number, since it uses less digits than its factorization.

5263980226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5263980226560 in words is "five trillion, two hundred sixty-three billion, nine hundred eighty million, two hundred twenty-six thousand, five hundred sixty".