11980931328000 has 576 divisors, whose sum is σ = 43365904742160. Its totient is φ = 3181510656000.

The previous prime is 11980931327941. The next prime is 11980931328013. The reversal of 11980931328000 is 82313908911.

It can be written as a sum of positive squares in 8 ways, for example, as 2813697598464 + 9167233729536 = 1677408^2 + 3027744^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555253212 + ... + 555274788.

Almost surely, 2^{11980931328000} is an apocalyptic number.

11980931328000 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 11980931328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682952371080).

11980931328000 is an abundant number, since it is smaller than the sum of its proper divisors (31384973414160).

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

11980931328000 is a wasteful number, since it uses less digits than its factorization.

11980931328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21861 (or 21828 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11980931328000 in words is "eleven trillion, nine hundred eighty billion, nine hundred thirty-one million, three hundred twenty-eight thousand".