11089735144752 has 160 divisors (see below), whose sum is σ = 33205805763840. Its totient is φ = 3162847073280.

The previous prime is 11089735144693. The next prime is 11089735144771. The reversal of 11089735144752 is 25744153798011.

It is a junction number, because it is equal to n+sod(n) for n = 11089735144692 and 11089735144701.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 456543 + ... + 4731585.

It is an arithmetic number, because the mean of its divisors is an integer number (207536286024).

Almost surely, 2^{11089735144752} is an apocalyptic number.

11089735144752 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 11089735144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602902881920).

11089735144752 is an abundant number, since it is smaller than the sum of its proper divisors (22116070619088).

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

11089735144752 is a wasteful number, since it uses less digits than its factorization.

11089735144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275116 (or 4275076 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 11089735144752 in words is "eleven trillion, eighty-nine billion, seven hundred thirty-five million, one hundred forty-four thousand, seven hundred fifty-two".