11317262820552 has 768 divisors, whose sum is σ = 36691226208000. Its totient is φ = 3119564980224.

The previous prime is 11317262820503. The next prime is 11317262820557. The reversal of 11317262820552 is 25502826271311.

11317262820552 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 72 + 6 + 2 + 8 + 20 + 552 = 666.

It is a super-2 number, since 2×11317262820552² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11317262820498 and 11317262820507.

It is not an unprimeable number, because it can be changed into a prime (11317262820557) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6668981368 + ... + 6668983064.

It is an arithmetic number, because the mean of its divisors is an integer number (47775034125).

Almost surely, 2^{11317262820552} is an apocalyptic number.

11317262820552 is a gapful number since it is divisible by the number (12) 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 11317262820552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345613104000).

11317262820552 is an abundant number, since it is smaller than the sum of its proper divisors (25373963387448).

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

11317262820552 is a wasteful number, since it uses less digits than its factorization.

11317262820552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11317262820552 in words is "eleven trillion, three hundred seventeen billion, two hundred sixty-two million, eight hundred twenty thousand, five hundred fifty-two".