11144127680 has 448 divisors, whose sum is σ = 33023738880. Its totient is φ = 3502227456.

The previous prime is 11144127671. The next prime is 11144127727. The reversal of 11144127680 is 8672144111.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11144127680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188883491 + ... + 188883549.

Almost surely, 2^11144127680 is an apocalyptic number.

11144127680 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 11144127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511869440).

11144127680 is an abundant number, since it is smaller than the sum of its proper divisors (21879611200).

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

11144127680 is a wasteful number, since it uses less digits than its factorization.

11144127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 11144127680 in words is "eleven billion, one hundred forty-four million, one hundred twenty-seven thousand, six hundred eighty".