87943330944 has 288 divisors, whose sum is σ = 298542853440. Its totient is φ = 24771640320.

The previous prime is 87943330939. The next prime is 87943330957. The reversal of 87943330944 is 44903334978.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87943330944² (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 3996837 + ... + 4018779.

It is an arithmetic number, because the mean of its divisors is an integer number (1036607130).

Almost surely, 2^87943330944 is an apocalyptic number.

87943330944 is a gapful number since it is divisible by the number (84) 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 87943330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149271426720).

87943330944 is an abundant number, since it is smaller than the sum of its proper divisors (210599522496).

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

87943330944 is a wasteful number, since it uses less digits than its factorization.

87943330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22048 (or 22026 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 87943330944 in words is "eighty-seven billion, nine hundred forty-three million, three hundred thirty thousand, nine hundred forty-four".