11525534130000 has 400 divisors, whose sum is σ = 40602720920256. Its totient is φ = 2793077760000.

The previous prime is 11525534129981. The next prime is 11525534130023. The reversal of 11525534130000 is 3143552511.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11525534130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431205974 + ... + 1431214026.

Almost surely, 2^{11525534130000} is an apocalyptic number.

11525534130000 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 11525534130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301360460128).

11525534130000 is an abundant number, since it is smaller than the sum of its proper divisors (29077186790256).

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

11525534130000 is a wasteful number, since it uses less digits than its factorization.

11525534130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 11525534130000 its reverse (3143552511), we get a palindrome (11528677682511).

The spelling of 11525534130000 in words is "eleven trillion, five hundred twenty-five billion, five hundred thirty-four million, one hundred thirty thousand".