168509081395200 has 8064 divisors, whose sum is σ = 821718686638080. Its totient is φ = 29964946636800.

The previous prime is 168509081395199. The next prime is 168509081395223. The reversal of 168509081395200 is 2593180905861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3918815846379 + ... + 3918815846421.

It is an arithmetic number, because the mean of its divisors is an integer number (101899638720).

Almost surely, 2^{168509081395200} is an apocalyptic number.

168509081395200 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 168509081395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410859343319040).

168509081395200 is an abundant number, since it is smaller than the sum of its proper divisors (653209605242880).

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

168509081395200 is a wasteful number, since it uses less digits than its factorization.

168509081395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 168509081395200 in words is "one hundred sixty-eight trillion, five hundred nine billion, eighty-one million, three hundred ninety-five thousand, two hundred".