11532251001440 has 96 divisors (see below), whose sum is σ = 29345136166080. Its totient is φ = 4257419249664.

The previous prime is 11532251001421. The next prime is 11532251001443. The reversal of 11532251001440 is 4410015223511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532251001443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13477262 + ... + 14307378.

It is an arithmetic number, because the mean of its divisors is an integer number (305678501730).

Almost surely, 2^{11532251001440} is an apocalyptic number.

11532251001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532251001440 is an abundant number, since it is smaller than the sum of its proper divisors (17812885164640).

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

11532251001440 is a wasteful number, since it uses less digits than its factorization.

11532251001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836824 (or 836816 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 11532251001440 its reverse (4410015223511), we get a palindrome (15942266224951).

The spelling of 11532251001440 in words is "eleven trillion, five hundred thirty-two billion, two hundred fifty-one million, one thousand, four hundred forty".