11152240000 has 640 divisors, whose sum is σ = 34413984000. Its totient is φ = 3548160000.

The previous prime is 11152239997. The next prime is 11152240037. The reversal of 11152240000 is 4225111.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384559986 + ... + 384560014.

It is an arithmetic number, because the mean of its divisors is an integer number (53771850).

Almost surely, 2^11152240000 is an apocalyptic number.

11152240000 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 11152240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206992000).

11152240000 is an abundant number, since it is smaller than the sum of its proper divisors (23261744000).

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

11152240000 is a wasteful number, since it uses less digits than its factorization.

11152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 11152240000 its reverse (4225111), we get a palindrome (11156465111).

It can be divided in two parts, 11152 and 240000, that added together give a palindrome (251152).

The spelling of 11152240000 in words is "eleven billion, one hundred fifty-two million, two hundred forty thousand".