168896819520 has 1568 divisors, whose sum is σ = 728711109504. Its totient is φ = 36727603200.

The previous prime is 168896819513. The next prime is 168896819573. The reversal of 168896819520 is 25918698861.

168896819520 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 96 + 8 + 19 + 520 = 666.

It is a super-2 number, since 2×168896819520² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2034901399 + ... + 2034901481.

It is an arithmetic number, because the mean of its divisors is an integer number (464739228).

Almost surely, 2^168896819520 is an apocalyptic number.

168896819520 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 168896819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364355554752).

168896819520 is an abundant number, since it is smaller than the sum of its proper divisors (559814289984).

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

168896819520 is a wasteful number, since it uses less digits than its factorization.

168896819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 168896819520 in words is "one hundred sixty-eight billion, eight hundred ninety-six million, eight hundred nineteen thousand, five hundred twenty".