242872710682752 has 96 divisors (see below), whose sum is σ = 701470460645760. Its totient is φ = 80658833702400.

The previous prime is 242872710682727. The next prime is 242872710682753. The reversal of 242872710682752 is 257286017278242.

242872710682752 is a `hidden beast` number, since 2 + 4 + 287 + 27 + 1 + 0 + 68 + 275 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242872710682752.

It is not an unprimeable number, because it can be changed into a prime (242872710682753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388667524 + ... + 389291907.

It is an arithmetic number, because the mean of its divisors is an integer number (7306983965060).

Almost surely, 2^{242872710682752} is an apocalyptic number.

It is an amenable number.

242872710682752 is an abundant number, since it is smaller than the sum of its proper divisors (458597749963008).

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

242872710682752 is a wasteful number, since it uses less digits than its factorization.

242872710682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777959722 (or 777959707 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 242872710682752 in words is "two hundred forty-two trillion, eight hundred seventy-two billion, seven hundred ten million, six hundred eighty-two thousand, seven hundred fifty-two".