168252073776 has 200 divisors, whose sum is σ = 521292974400. Its totient is φ = 52231236480.

The previous prime is 168252073747. The next prime is 168252073813. The reversal of 168252073776 is 677370252861.

It is a happy number.

168252073776 is a `hidden beast` number, since 1 + 6 + 82 + 520 + 7 + 37 + 7 + 6 = 666.

168252073776 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1394911 + ... + 1510721.

It is an arithmetic number, because the mean of its divisors is an integer number (2606464872).

Almost surely, 2^168252073776 is an apocalyptic number.

168252073776 is a gapful number since it is divisible by the number (16) 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 168252073776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260646487200).

168252073776 is an abundant number, since it is smaller than the sum of its proper divisors (353040900624).

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

168252073776 is a wasteful number, since it uses less digits than its factorization.

168252073776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115909 (or 115894 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 168252073776 in words is "one hundred sixty-eight billion, two hundred fifty-two million, seventy-three thousand, seven hundred seventy-six".