171872928000 has 1296 divisors, whose sum is σ = 691524183168. Its totient is φ = 42425856000.

The previous prime is 171872927959. The next prime is 171872928041. The reversal of 171872928000 is 829278171.

It is an interprime number because it is at equal distance from previous prime (171872927959) and next prime (171872928041).

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 5544287985 + ... + 5544288015.

Almost surely, 2^171872928000 is an apocalyptic number.

171872928000 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 171872928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345762091584).

171872928000 is an abundant number, since it is smaller than the sum of its proper divisors (519651255168).

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

171872928000 is an frugal number, since it uses more digits than its factorization.

171872928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 171872928000 in words is "one hundred seventy-one billion, eight hundred seventy-two million, nine hundred twenty-eight thousand".