168025962720 has 1728 divisors, whose sum is σ = 752671761408. Its totient is φ = 31223808000.

The previous prime is 168025962679. The next prime is 168025962721. The reversal of 168025962720 is 27269520861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 168025962720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168025962721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1112754645 + ... + 1112754795.

It is an arithmetic number, because the mean of its divisors is an integer number (435573936).

Almost surely, 2^168025962720 is an apocalyptic number.

168025962720 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 168025962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376335880704).

168025962720 is an abundant number, since it is smaller than the sum of its proper divisors (584645798688).

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

168025962720 is a wasteful number, since it uses less digits than its factorization.

168025962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 168025962720 in words is "one hundred sixty-eight billion, twenty-five million, nine hundred sixty-two thousand, seven hundred twenty".