168120095040 has 168 divisors, whose sum is σ = 580684965120. Its totient is φ = 44644260864.

The previous prime is 168120095009. The next prime is 168120095041. The reversal of 168120095040 is 40590021861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 168120094986 and 168120095004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168120095041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566197 + ... + 810443.

Almost surely, 2^168120095040 is an apocalyptic number.

168120095040 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 168120095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290342482560).

168120095040 is an abundant number, since it is smaller than the sum of its proper divisors (412564870080).

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

168120095040 is a wasteful number, since it uses less digits than its factorization.

168120095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244509 (or 244496 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 168120095040 in words is "one hundred sixty-eight billion, one hundred twenty million, ninety-five thousand, forty".