11053735840 has 96 divisors (see below), whose sum is σ = 29893449600. Its totient is φ = 3783711744.

The previous prime is 11053735799. The next prime is 11053735859. The reversal of 11053735840 is 4853735011.

11053735840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11053735840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712486 + ... + 727834.

It is an arithmetic number, because the mean of its divisors is an integer number (311390100).

Almost surely, 2^11053735840 is an apocalyptic number.

11053735840 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 11053735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946724800).

11053735840 is an abundant number, since it is smaller than the sum of its proper divisors (18839713760).

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

11053735840 is a wasteful number, since it uses less digits than its factorization.

11053735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16014 (or 16006 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 11053735840 in words is "eleven billion, fifty-three million, seven hundred thirty-five thousand, eight hundred forty".