11000941508892 has 144 divisors (see below), whose sum is σ = 27247319350272. Its totient is φ = 3450844696320.

The previous prime is 11000941508891. The next prime is 11000941508981. The reversal of 11000941508892 is 29880514900011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000941508891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156101728 + ... + 156172184.

It is an arithmetic number, because the mean of its divisors is an integer number (189217495488).

Almost surely, 2^{11000941508892} is an apocalyptic number.

11000941508892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000941508892 is an abundant number, since it is smaller than the sum of its proper divisors (16246377841380).

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

11000941508892 is a wasteful number, since it uses less digits than its factorization.

11000941508892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70808 (or 70763 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 11000941508892 in words is "eleven trillion, nine hundred forty-one million, five hundred eight thousand, eight hundred ninety-two".