168288978179520 has 560 divisors, whose sum is σ = 655182284093568. Its totient is φ = 40664416573440.

The previous prime is 168288978179453. The next prime is 168288978179527. The reversal of 168288978179520 is 25971879882861.

168288978179520 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 8 + 8 + 9 + 7 + 81 + 7 + 9 + 520 = 666.

168288978179520 is digitally balanced in base 3, 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 168288978179520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168288978179527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86570539 + ... + 88493141.

Almost surely, 2^{168288978179520} is an apocalyptic number.

168288978179520 is a gapful number since it is divisible by the number (10) 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 168288978179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327591142046784).

168288978179520 is an abundant number, since it is smaller than the sum of its proper divisors (486893305914048).

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

168288978179520 is a wasteful number, since it uses less digits than its factorization.

168288978179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922950 (or 1922931 counting only the distinct ones).

The product of its (nonzero) digits is 1950842880, while the sum is 81.

The spelling of 168288978179520 in words is "one hundred sixty-eight trillion, two hundred eighty-eight billion, nine hundred seventy-eight million, one hundred seventy-nine thousand, five hundred twenty".