11864452080 has 320 divisors, whose sum is σ = 40931630208. Its totient is φ = 2824273920.

The previous prime is 11864452057. The next prime is 11864452081. The reversal of 11864452080 is 8025446811.

11864452080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11864452081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17524702 + ... + 17525378.

Almost surely, 2^11864452080 is an apocalyptic number.

11864452080 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 11864452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465815104).

11864452080 is an abundant number, since it is smaller than the sum of its proper divisors (29067178128).

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

11864452080 is a wasteful number, since it uses less digits than its factorization.

11864452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

Adding to 11864452080 its reverse (8025446811), we get a palindrome (19889898891).

The spelling of 11864452080 in words is "eleven billion, eight hundred sixty-four million, four hundred fifty-two thousand, eighty".