11208532440000 has 1680 divisors, whose sum is σ = 46502928299520. Its totient is φ = 2366945280000.

The previous prime is 11208532439989. The next prime is 11208532440029. The reversal of 11208532440000 is 4423580211.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11208532440000.

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 4580518777 + ... + 4580521223.

It is an arithmetic number, because the mean of its divisors is an integer number (27680314464).

Almost surely, 2^{11208532440000} is an apocalyptic number.

11208532440000 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 11208532440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23251464149760).

11208532440000 is an abundant number, since it is smaller than the sum of its proper divisors (35294395859520).

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

11208532440000 is a wasteful number, since it uses less digits than its factorization.

11208532440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 11208532440000 in words is "eleven trillion, two hundred eight billion, five hundred thirty-two million, four hundred forty thousand".