11525208408000 has 1344 divisors, whose sum is σ = 47769426432000. Its totient is φ = 2598154444800.

The previous prime is 11525208407981. The next prime is 11525208408001. The reversal of 11525208408000 is 80480252511.

11525208408000 is a `hidden beast` number, since 1 + 1 + 52 + 520 + 8 + 4 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11525208408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12541031541 + ... + 12541032459.

It is an arithmetic number, because the mean of its divisors is an integer number (35542728000).

Almost surely, 2^{11525208408000} is an apocalyptic number.

11525208408000 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 11525208408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23884713216000).

11525208408000 is an abundant number, since it is smaller than the sum of its proper divisors (36244218024000).

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

11525208408000 is a wasteful number, since it uses less digits than its factorization.

11525208408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 11525208408000 in words is "eleven trillion, five hundred twenty-five billion, two hundred eight million, four hundred eight thousand".