11448666825600 has 384 divisors, whose sum is σ = 38117443541760. Its totient is φ = 3020083200000.

The previous prime is 11448666825569. The next prime is 11448666825601. The reversal of 11448666825600 is 652866684411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448666825601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349337215 + ... + 349369985.

It is an arithmetic number, because the mean of its divisors is an integer number (99264175890).

Almost surely, 2^{11448666825600} is an apocalyptic number.

11448666825600 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 11448666825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058721770880).

11448666825600 is an abundant number, since it is smaller than the sum of its proper divisors (26668776716160).

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

11448666825600 is a wasteful number, since it uses less digits than its factorization.

11448666825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33190 (or 33173 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 11448666825600 in words is "eleven trillion, four hundred forty-eight billion, six hundred sixty-six million, eight hundred twenty-five thousand, six hundred".