11244780288000 has 4608 divisors, whose sum is σ = 53575022592000. Its totient is φ = 2341011456000.

The previous prime is 11244780287957. The next prime is 11244780288029. The reversal of 11244780288000 is 88208744211.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 362734847985 + ... + 362734848015.

It is an arithmetic number, because the mean of its divisors is an integer number (11626524000).

Almost surely, 2^{11244780288000} is an apocalyptic number.

11244780288000 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 11244780288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26787511296000).

11244780288000 is an abundant number, since it is smaller than the sum of its proper divisors (42330242304000).

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

11244780288000 is an frugal number, since it uses more digits than its factorization.

11244780288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 11244780288000 in words is "eleven trillion, two hundred forty-four billion, seven hundred eighty million, two hundred eighty-eight thousand".