168553797120 has 480 divisors, whose sum is σ = 622010188800. Its totient is φ = 42059907072.

The previous prime is 168553797077. The next prime is 168553797127. The reversal of 168553797120 is 21797355861.

168553797120 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 537 + 97 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168553797127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36331761 + ... + 36336399.

It is an arithmetic number, because the mean of its divisors is an integer number (1295854560).

Almost surely, 2^168553797120 is an apocalyptic number.

168553797120 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 168553797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311005094400).

168553797120 is an abundant number, since it is smaller than the sum of its proper divisors (453456391680).

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

168553797120 is a wasteful number, since it uses less digits than its factorization.

168553797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 168553797120 in words is "one hundred sixty-eight billion, five hundred fifty-three million, seven hundred ninety-seven thousand, one hundred twenty".