168828315156480 has 1920 divisors, whose sum is σ = 659042618572800. Its totient is φ = 36852722565120.

The previous prime is 168828315156439. The next prime is 168828315156503. The reversal of 168828315156480 is 84651513828861.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×168828315156480³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170361568785 + ... + 170361569775.

It is an arithmetic number, because the mean of its divisors is an integer number (343251363840).

Almost surely, 2^{168828315156480} is an apocalyptic number.

168828315156480 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 168828315156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329521309286400).

168828315156480 is an abundant number, since it is smaller than the sum of its proper divisors (490214303416320).

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

168828315156480 is an frugal number, since it uses more digits than its factorization.

168828315156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 66.

The spelling of 168828315156480 in words is "one hundred sixty-eight trillion, eight hundred twenty-eight billion, three hundred fifteen million, one hundred fifty-six thousand, four hundred eighty".