171720989440 has 576 divisors, whose sum is σ = 555668692992. Its totient is φ = 49102848000.

The previous prime is 171720989417. The next prime is 171720989477. The reversal of 171720989440 is 44989027171.

It is a happy number.

171720989440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285725140 + ... + 285725740.

It is an arithmetic number, because the mean of its divisors is an integer number (964702592).

Almost surely, 2^171720989440 is an apocalyptic number.

171720989440 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 171720989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277834346496).

171720989440 is an abundant number, since it is smaller than the sum of its proper divisors (383947703552).

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

171720989440 is a wasteful number, since it uses less digits than its factorization.

171720989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 171720989440 in words is "one hundred seventy-one billion, seven hundred twenty million, nine hundred eighty-nine thousand, four hundred forty".