11872000000 has 336 divisors, whose sum is σ = 34551120240. Its totient is φ = 3993600000.

The previous prime is 11871999991. The next prime is 11872000003. The reversal of 11872000000 is 27811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 223999974 + ... + 224000026.

It is an arithmetic number, because the mean of its divisors is an integer number (102830715).

Almost surely, 2^11872000000 is an apocalyptic number.

11872000000 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 11872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275560120).

11872000000 is an abundant number, since it is smaller than the sum of its proper divisors (22679120240).

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

11872000000 is an frugal number, since it uses more digits than its factorization.

11872000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 11872000000 its reverse (27811), we get a palindrome (11872027811).

The spelling of 11872000000 in words is "eleven billion, eight hundred seventy-two million", and thus it is an aban number.