11883187840000 has 495 divisors, whose sum is σ = 30894649868511. Its totient is φ = 4566850560000.

The previous prime is 11883187839997. The next prime is 11883187840009. The reversal of 11883187840000 is 4878138811.

The square root of 11883187840000 is 3447200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 931641926656 + 10951545913344 = 965216^2 + 3309312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11883187840009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85490559931 + ... + 85490560069.

Almost surely, 2^{11883187840000} is an apocalyptic number.

11883187840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11883187840000 is the 3447200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11883187840000

11883187840000 is an abundant number, since it is smaller than the sum of its proper divisors (19011462028511).

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

11883187840000 is an frugal number, since it uses more digits than its factorization.

11883187840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 49.

Multiplying 11883187840000 by its sum of digits (49), we get a square (582276204160000 = 24130400²).

The spelling of 11883187840000 in words is "eleven trillion, eight hundred eighty-three billion, one hundred eighty-seven million, eight hundred forty thousand".