242565916160 has 80 divisors (see below), whose sum is σ = 582611741712. Its totient is φ = 96855859200.

The previous prime is 242565916157. The next prime is 242565916171. The reversal of 242565916160 is 61619565242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378790 + ... + 1544730.

Almost surely, 2^242565916160 is an apocalyptic number.

242565916160 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 242565916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291305870856).

242565916160 is an abundant number, since it is smaller than the sum of its proper divisors (340045825552).

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

242565916160 is an equidigital number, since it uses as much as digits as its factorization.

242565916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166535 (or 166519 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 242565916160 in words is "two hundred forty-two billion, five hundred sixty-five million, nine hundred sixteen thousand, one hundred sixty".