11520530134400 has 192 divisors, whose sum is σ = 34438157290080. Its totient is φ = 3717549096960.

The previous prime is 11520530134343. The next prime is 11520530134423. The reversal of 11520530134400 is 443103502511.

It is a super-2 number, since 2×11520530134400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14745947 + ... + 15507546.

Almost surely, 2^{11520530134400} is an apocalyptic number.

11520530134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11520530134400 is an abundant number, since it is smaller than the sum of its proper divisors (22917627155680).

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

11520530134400 is a wasteful number, since it uses less digits than its factorization.

11520530134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30253541 (or 30253524 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 11520530134400 its reverse (443103502511), we get a palindrome (11963633636911).

The spelling of 11520530134400 in words is "eleven trillion, five hundred twenty billion, five hundred thirty million, one hundred thirty-four thousand, four hundred".