11532235004400 has 120 divisors (see below), whose sum is σ = 40299919461504. Its totient is φ = 2795693331200.

The previous prime is 11532235004393. The next prime is 11532235004453. The reversal of 11532235004400 is 440053223511.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 436813884 + ... + 436840283.

Almost surely, 2^{11532235004400} is an apocalyptic number.

11532235004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532235004400 is an abundant number, since it is smaller than the sum of its proper divisors (28767684457104).

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

11532235004400 is a wasteful number, since it uses less digits than its factorization.

11532235004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873654199 (or 873654188 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11532235004400 its reverse (440053223511), we get a palindrome (11972288227911).

The spelling of 11532235004400 in words is "eleven trillion, five hundred thirty-two billion, two hundred thirty-five million, four thousand, four hundred".