168153686351800 has 192 divisors, whose sum is σ = 395275650739200. Its totient is φ = 66520958400000.

The previous prime is 168153686351759. The next prime is 168153686351843. The reversal of 168153686351800 is 8153686351861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31424719125 + ... + 31424724475.

It is an arithmetic number, because the mean of its divisors is an integer number (2058727347600).

Almost surely, 2^{168153686351800} is an apocalyptic number.

168153686351800 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 168153686351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197637825369600).

168153686351800 is an abundant number, since it is smaller than the sum of its proper divisors (227121964387400).

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

168153686351800 is a wasteful number, since it uses less digits than its factorization.

168153686351800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

Adding to 168153686351800 its sum of digits (61), we get a palindrome (168153686351861).

The spelling of 168153686351800 in words is "one hundred sixty-eight trillion, one hundred fifty-three billion, six hundred eighty-six million, three hundred fifty-one thousand, eight hundred".