242059688035200 has 2304 divisors, whose sum is σ = 1086442234675200. Its totient is φ = 50035357532160.

The previous prime is 242059688035169. The next prime is 242059688035201. The reversal of 242059688035200 is 2530886950242.

242059688035200 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 59 + 68 + 8 + 0 + 3 + 520 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242059688035201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48190259889 + ... + 48190264911.

It is an arithmetic number, because the mean of its divisors is an integer number (471546108800).

Almost surely, 2^{242059688035200} is an apocalyptic number.

242059688035200 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 242059688035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543221117337600).

242059688035200 is an abundant number, since it is smaller than the sum of its proper divisors (844382546640000).

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

242059688035200 is a wasteful number, since it uses less digits than its factorization.

242059688035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 242059688035200 in words is "two hundred forty-two trillion, fifty-nine billion, six hundred eighty-eight million, thirty-five thousand, two hundred".