11189953262488 has 384 divisors, whose sum is σ = 30608006284800. Its totient is φ = 3758827161600.

The previous prime is 11189953262363. The next prime is 11189953262491. The reversal of 11189953262488 is 88426235998111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75545556 + ... + 75693532.

It is an arithmetic number, because the mean of its divisors is an integer number (79708349700).

Almost surely, 2^{11189953262488} 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 11189953262488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304003142400).

11189953262488 is an abundant number, since it is smaller than the sum of its proper divisors (19418053022312).

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

11189953262488 is a wasteful number, since it uses less digits than its factorization.

11189953262488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148111 (or 148100 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 67.

The spelling of 11189953262488 in words is "eleven trillion, one hundred eighty-nine billion, nine hundred fifty-three million, two hundred sixty-two thousand, four hundred eighty-eight".