168871392000 has 1152 divisors, whose sum is σ = 669359308800. Its totient is φ = 42326323200.

The previous prime is 168871391977. The next prime is 168871392013. The reversal of 168871392000 is 293178861.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×168871392000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1329695937 + ... + 1329696063.

Almost surely, 2^168871392000 is an apocalyptic number.

168871392000 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 168871392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334679654400).

168871392000 is an abundant number, since it is smaller than the sum of its proper divisors (500487916800).

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

168871392000 is an frugal number, since it uses more digits than its factorization.

168871392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 168871392000 in words is "one hundred sixty-eight billion, eight hundred seventy-one million, three hundred ninety-two thousand".