11325961012800 has 2688 divisors, whose sum is σ = 47774342246400. Its totient is φ = 2291802439680.

The previous prime is 11325961012777. The next prime is 11325961012811. The reversal of 11325961012800 is 821016952311.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 103907899146 + ... + 103907899254.

It is an arithmetic number, because the mean of its divisors is an integer number (17773192800).

Almost surely, 2^{11325961012800} is an apocalyptic number.

11325961012800 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 11325961012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887171123200).

11325961012800 is an abundant number, since it is smaller than the sum of its proper divisors (36448381233600).

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

11325961012800 is a wasteful number, since it uses less digits than its factorization.

11325961012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11325961012800 in words is "eleven trillion, three hundred twenty-five billion, nine hundred sixty-one million, twelve thousand, eight hundred".