11982487440000 has 1920 divisors, whose sum is σ = 50827160102400. Its totient is φ = 2472422400000.

The previous prime is 11982487439999. The next prime is 11982487440029. The reversal of 11982487440000 is 4478428911.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27294959781 + ... + 27294960219.

It is an arithmetic number, because the mean of its divisors is an integer number (26472479220).

Almost surely, 2^{11982487440000} is an apocalyptic number.

11982487440000 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 11982487440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25413580051200).

11982487440000 is an abundant number, since it is smaller than the sum of its proper divisors (38844672662400).

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

11982487440000 is a wasteful number, since it uses less digits than its factorization.

11982487440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 11982487440000 in words is "eleven trillion, nine hundred eighty-two billion, four hundred eighty-seven million, four hundred forty thousand".