11533132142400 has 336 divisors, whose sum is σ = 41293185067008. Its totient is φ = 2794891008000.

The previous prime is 11533132142393. The next prime is 11533132142423. The reversal of 11533132142400 is 424123133511.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150071985 + ... + 150148815.

It is an arithmetic number, because the mean of its divisors is an integer number (122896384128).

Almost surely, 2^{11533132142400} is an apocalyptic number.

11533132142400 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 11533132142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646592533504).

11533132142400 is an abundant number, since it is smaller than the sum of its proper divisors (29760052924608).

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

11533132142400 is a wasteful number, since it uses less digits than its factorization.

11533132142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79710 (or 79695 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11533132142400 its reverse (424123133511), we get a palindrome (11957255275911).

The spelling of 11533132142400 in words is "eleven trillion, five hundred thirty-three billion, one hundred thirty-two million, one hundred forty-two thousand, four hundred".