239852995432960 has 640 divisors, whose sum is σ = 736130304645120. Its totient is φ = 72922793508864.

The previous prime is 239852995432913. The next prime is 239852995432987. The reversal of 239852995432960 is 69234599258932.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 680765962 + ... + 681118198.

It is an arithmetic number, because the mean of its divisors is an integer number (1150203601008).

Almost surely, 2^{239852995432960} is an apocalyptic number.

239852995432960 is a gapful number since it is divisible by the number (20) 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 239852995432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368065152322560).

239852995432960 is an abundant number, since it is smaller than the sum of its proper divisors (496277309212160).

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

239852995432960 is a wasteful number, since it uses less digits than its factorization.

239852995432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352396 (or 352380 counting only the distinct ones).

The product of its (nonzero) digits is 2267481600, while the sum is 76.

The spelling of 239852995432960 in words is "two hundred thirty-nine trillion, eight hundred fifty-two billion, nine hundred ninety-five million, four hundred thirty-two thousand, nine hundred sixty".