129460973690880 has 3584 divisors, whose sum is σ = 539336118988800. Its totient is φ = 29214350770176.

The previous prime is 129460973690869. The next prime is 129460973690887. The reversal of 129460973690880 is 88096379064921.

129460973690880 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 609 + 7 + 3 + 6 + 9 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 129460973690799 and 129460973690808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129460973690887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1454617681876 + ... + 1454617681964.

It is an arithmetic number, because the mean of its divisors is an integer number (150484408200).

Almost surely, 2^{129460973690880} is an apocalyptic number.

129460973690880 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 129460973690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269668059494400).

129460973690880 is an abundant number, since it is smaller than the sum of its proper divisors (409875145297920).

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

129460973690880 is a wasteful number, since it uses less digits than its factorization.

129460973690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 129460973690880 in words is "one hundred twenty-nine trillion, four hundred sixty billion, nine hundred seventy-three million, six hundred ninety thousand, eight hundred eighty".