11927459488000 has 1152 divisors, whose sum is σ = 36879881665536. Its totient is φ = 3751280640000.

The previous prime is 11927459487973. The next prime is 11927459488019. The reversal of 11927459488000 is 88495472911.

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 127 ways as a sum of consecutive naturals, for example, 29744287800 + ... + 29744288200.

It is an arithmetic number, because the mean of its divisors is an integer number (32013786168).

Almost surely, 2^{11927459488000} is an apocalyptic number.

11927459488000 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 11927459488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439940832768).

11927459488000 is an abundant number, since it is smaller than the sum of its proper divisors (24952422177536).

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

11927459488000 is a wasteful number, since it uses less digits than its factorization.

11927459488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 11927459488000 in words is "eleven trillion, nine hundred twenty-seven billion, four hundred fifty-nine million, four hundred eighty-eight thousand".