11872091712 has 224 divisors, whose sum is σ = 36585948672. Its totient is φ = 3364356096.

The previous prime is 11872091711. The next prime is 11872091741. The reversal of 11872091712 is 21719027811.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11872091711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991328 + ... + 1997280.

It is an arithmetic number, because the mean of its divisors is an integer number (163330128).

Almost surely, 2^11872091712 is an apocalyptic number.

11872091712 is a gapful number since it is divisible by the number (12) 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 11872091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292974336).

11872091712 is an abundant number, since it is smaller than the sum of its proper divisors (24713856960).

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

11872091712 is a wasteful number, since it uses less digits than its factorization.

11872091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 39.

The spelling of 11872091712 in words is "eleven billion, eight hundred seventy-two million, ninety-one thousand, seven hundred twelve".