842180613120 has 2112 divisors, whose sum is σ = 3862639872000. Its totient is φ = 170877911040.

The previous prime is 842180613119. The next prime is 842180613149. The reversal of 842180613120 is 21316081248.

842180613120 is a `hidden beast` number, since 8 + 4 + 2 + 18 + 0 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×842180613120² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5652218806 + ... + 5652218954.

Almost surely, 2^842180613120 is an apocalyptic number.

842180613120 is a gapful number since it is divisible by the number (80) 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 842180613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931319936000).

842180613120 is an abundant number, since it is smaller than the sum of its proper divisors (3020459258880).

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

842180613120 is a wasteful number, since it uses less digits than its factorization.

842180613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 842180613120 its reverse (21316081248), we get a palindrome (863496694368).

The spelling of 842180613120 in words is "eight hundred forty-two billion, one hundred eighty million, six hundred thirteen thousand, one hundred twenty".