11155653440 has 112 divisors (see below), whose sum is σ = 26883360000. Its totient is φ = 4409044992.

The previous prime is 11155653413. The next prime is 11155653449. The reversal of 11155653440 is 4435655111.

It is a self number, because there is not a number n which added to its sum of digits gives 11155653440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11155653449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10634036 + ... + 10635084.

It is an arithmetic number, because the mean of its divisors is an integer number (240030000).

Almost surely, 2^11155653440 is an apocalyptic number.

11155653440 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 11155653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680000).

11155653440 is an abundant number, since it is smaller than the sum of its proper divisors (15727706560).

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

11155653440 is a wasteful number, since it uses less digits than its factorization.

11155653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 11155653440 in words is "eleven billion, one hundred fifty-five million, six hundred fifty-three thousand, four hundred forty".