239705008992 has 96 divisors (see below), whose sum is σ = 699429225600. Its totient is φ = 79868571264.

The previous prime is 239705008979. The next prime is 239705008997. The reversal of 239705008992 is 299800507932.

239705008992 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239705008997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075259 + ... + 2187717.

It is an arithmetic number, because the mean of its divisors is an integer number (7285721100).

Almost surely, 2^239705008992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239705008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349714612800).

239705008992 is an abundant number, since it is smaller than the sum of its proper divisors (459724216608).

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

239705008992 is a wasteful number, since it uses less digits than its factorization.

239705008992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114945 (or 114931 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 239705008992 in words is "two hundred thirty-nine billion, seven hundred five million, eight thousand, nine hundred ninety-two".