11864334720 has 384 divisors, whose sum is σ = 45912925440. Its totient is φ = 2593468416.

The previous prime is 11864334689. The next prime is 11864334767. The reversal of 11864334720 is 2743346811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2161099 + ... + 2166581.

It is an arithmetic number, because the mean of its divisors is an integer number (119564910).

Almost surely, 2^11864334720 is an apocalyptic number.

11864334720 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 11864334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956462720).

11864334720 is an abundant number, since it is smaller than the sum of its proper divisors (34048590720).

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

11864334720 is a wasteful number, since it uses less digits than its factorization.

11864334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 11864334720 in words is "eleven billion, eight hundred sixty-four million, three hundred thirty-four thousand, seven hundred twenty".