11053704960 has 576 divisors, whose sum is σ = 41722128000. Its totient is φ = 2766274560.

The previous prime is 11053704953. The next prime is 11053704973. The reversal of 11053704960 is 6940735011.

11053704960 is a `hidden beast` number, since 110 + 53 + 7 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41091706 + ... + 41091974.

It is an arithmetic number, because the mean of its divisors is an integer number (72434250).

Almost surely, 2^11053704960 is an apocalyptic number.

11053704960 is a gapful number since it is divisible by the number (10) 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 11053704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861064000).

11053704960 is an abundant number, since it is smaller than the sum of its proper divisors (30668423040).

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

11053704960 is a wasteful number, since it uses less digits than its factorization.

11053704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11053704960 in words is "eleven billion, fifty-three million, seven hundred four thousand, nine hundred sixty".