11325881548800 has 3072 divisors, whose sum is σ = 54390568780800. Its totient is φ = 2242274918400.

The previous prime is 11325881548771. The next prime is 11325881548819. The reversal of 11325881548800 is 884518852311.

It is a happy number.

11325881548800 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 588 + 1 + 54 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34217164635 + ... + 34217164965.

It is an arithmetic number, because the mean of its divisors is an integer number (17705263275).

Almost surely, 2^{11325881548800} is an apocalyptic number.

11325881548800 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 11325881548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195284390400).

11325881548800 is an abundant number, since it is smaller than the sum of its proper divisors (43064687232000).

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

11325881548800 is a wasteful number, since it uses less digits than its factorization.

11325881548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 11325881548800 in words is "eleven trillion, three hundred twenty-five billion, eight hundred eighty-one million, five hundred forty-eight thousand, eight hundred".