11005126656 has 96 divisors (see below), whose sum is σ = 29490552000. Its totient is φ = 3649536000.

The previous prime is 11005126651. The next prime is 11005126661. The reversal of 11005126656 is 65662150011.

It is an interprime number because it is at equal distance from previous prime (11005126651) and next prime (11005126661).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11005126656² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005126651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218156 + ... + 1227156.

It is an arithmetic number, because the mean of its divisors is an integer number (307193250).

Almost surely, 2^11005126656 is an apocalyptic number.

11005126656 is a gapful number since it is divisible by the number (16) 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 11005126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745276000).

11005126656 is an abundant number, since it is smaller than the sum of its proper divisors (18485425344).

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

11005126656 is an equidigital number, since it uses as much as digits as its factorization.

11005126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 11005126656 its reverse (65662150011), we get a palindrome (76667276667).

The spelling of 11005126656 in words is "eleven billion, five million, one hundred twenty-six thousand, six hundred fifty-six".