43116164960 has 288 divisors, whose sum is σ = 118901260800. Its totient is φ = 14648325120.

The previous prime is 43116164953. The next prime is 43116164989. The reversal of 43116164960 is 6946161134.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50193011 + ... + 50193869.

It is an arithmetic number, because the mean of its divisors is an integer number (412851600).

Almost surely, 2^43116164960 is an apocalyptic number.

43116164960 is a gapful number since it is divisible by the number (40) 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 43116164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59450630400).

43116164960 is an abundant number, since it is smaller than the sum of its proper divisors (75785095840).

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

43116164960 is a wasteful number, since it uses less digits than its factorization.

43116164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 43116164960 in words is "forty-three billion, one hundred sixteen million, one hundred sixty-four thousand, nine hundred sixty".