11005145088 has 208 divisors, whose sum is σ = 33906808320. Its totient is φ = 3109552128.

The previous prime is 11005145077. The next prime is 11005145113. The reversal of 11005145088 is 88054150011.

It is a super-2 number, since 2×11005145088² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8342893 + ... + 8344211.

Almost surely, 2^11005145088 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 11005145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953404160).

11005145088 is an abundant number, since it is smaller than the sum of its proper divisors (22901663232).

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

11005145088 is an equidigital number, since it uses as much as digits as its factorization.

11005145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

Adding to 11005145088 its reverse (88054150011), we get a palindrome (99059295099).

The spelling of 11005145088 in words is "eleven billion, five million, one hundred forty-five thousand, eighty-eight".