242162255160 has 288 divisors, whose sum is σ = 916967226240. Its totient is φ = 55263979008.

The previous prime is 242162255149. The next prime is 242162255161. The reversal of 242162255160 is 61552261242.

242162255160 is a `hidden beast` number, since 2 + 4 + 21 + 6 + 22 + 551 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242162255161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11508409 + ... + 11529431.

It is an arithmetic number, because the mean of its divisors is an integer number (3183913980).

Almost surely, 2^242162255160 is an apocalyptic number.

242162255160 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 242162255160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458483613120).

242162255160 is an abundant number, since it is smaller than the sum of its proper divisors (674804971080).

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

242162255160 is a wasteful number, since it uses less digits than its factorization.

242162255160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21707 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 242162255160 in words is "two hundred forty-two billion, one hundred sixty-two million, two hundred fifty-five thousand, one hundred sixty".