242125217560160 has 96 divisors (see below), whose sum is σ = 660729938696352. Its totient is φ = 82866384609280.

The previous prime is 242125217560141. The next prime is 242125217560189. The reversal of 242125217560160 is 61065712521242.

242125217560160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4046180267 + ... + 4046240106.

It is an arithmetic number, because the mean of its divisors is an integer number (6882603528087).

Almost surely, 2^{242125217560160} is an apocalyptic number.

242125217560160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242125217560160 is an abundant number, since it is smaller than the sum of its proper divisors (418604721136192).

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

242125217560160 is a wasteful number, since it uses less digits than its factorization.

242125217560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092420416 (or 8092420408 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 242125217560160 in words is "two hundred forty-two trillion, one hundred twenty-five billion, two hundred seventeen million, five hundred sixty thousand, one hundred sixty".