171930769920 has 480 divisors, whose sum is σ = 732863843712. Its totient is φ = 36275060736.

The previous prime is 171930769903. The next prime is 171930769949. The reversal of 171930769920 is 29967039171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 2055639 + ... + 2137641.

Almost surely, 2^171930769920 is an apocalyptic number.

171930769920 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 171930769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366431921856).

171930769920 is an abundant number, since it is smaller than the sum of its proper divisors (560933073792).

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

171930769920 is a wasteful number, since it uses less digits than its factorization.

171930769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82052 (or 82033 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 171930769920 in words is "one hundred seventy-one billion, nine hundred thirty million, seven hundred sixty-nine thousand, nine hundred twenty".