129717020160 has 1280 divisors, whose sum is σ = 582082744320. Its totient is φ = 26648248320.

The previous prime is 129717020149. The next prime is 129717020171. The reversal of 129717020160 is 61020717921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129717020149) and next prime (129717020171).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257886469 + ... + 257886971.

It is an arithmetic number, because the mean of its divisors is an integer number (454752144).

Almost surely, 2^129717020160 is an apocalyptic number.

129717020160 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 129717020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291041372160).

129717020160 is an abundant number, since it is smaller than the sum of its proper divisors (452365724160).

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

129717020160 is a wasteful number, since it uses less digits than its factorization.

129717020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 129717020160 in words is "one hundred twenty-nine billion, seven hundred seventeen million, twenty thousand, one hundred sixty".