11152403440000 has 160 divisors (see below), whose sum is σ = 28440371199240. Its totient is φ = 4352156160000.

The previous prime is 11152403439977. The next prime is 11152403440007. The reversal of 11152403440000 is 4430425111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×11152403440000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152403440007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1579939 + ... + 4980061.

Almost surely, 2^{11152403440000} is an apocalyptic number.

11152403440000 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 11152403440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220185599620).

11152403440000 is an abundant number, since it is smaller than the sum of its proper divisors (17287967759240).

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

11152403440000 is an frugal number, since it uses more digits than its factorization.

11152403440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400198 (or 3400171 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11152403440000 its reverse (4430425111), we get a palindrome (11156833865111).

The spelling of 11152403440000 in words is "eleven trillion, one hundred fifty-two billion, four hundred three million, four hundred forty thousand".