11532134266400 has 144 divisors (see below), whose sum is σ = 32518768978080. Its totient is φ = 3946826649600.

The previous prime is 11532134266339. The next prime is 11532134266423. The reversal of 11532134266400 is 466243123511.

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 23 ways as a sum of consecutive naturals, for example, 38393630 + ... + 38692829.

It is an arithmetic number, because the mean of its divisors is an integer number (225824784570).

Almost surely, 2^{11532134266400} is an apocalyptic number.

11532134266400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532134266400 is an abundant number, since it is smaller than the sum of its proper divisors (20986634711680).

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

11532134266400 is a wasteful number, since it uses less digits than its factorization.

11532134266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77086507 (or 77086494 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

Adding to 11532134266400 its reverse (466243123511), we get a palindrome (11998377389911).

The spelling of 11532134266400 in words is "eleven trillion, five hundred thirty-two billion, one hundred thirty-four million, two hundred sixty-six thousand, four hundred".