129983287974400 has 960 divisors, whose sum is σ = 393047979033600. Its totient is φ = 41585611898880.

The previous prime is 129983287974389. The next prime is 129983287974401. The reversal of 129983287974400 is 4479782389921.

It is not an unprimeable number, because it can be changed into a prime (129983287974401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100840408956 + ... + 100840410244.

It is an arithmetic number, because the mean of its divisors is an integer number (409424978160).

Almost surely, 2^{129983287974400} is an apocalyptic number.

129983287974400 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 129983287974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196523989516800).

129983287974400 is an abundant number, since it is smaller than the sum of its proper divisors (263064691059200).

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

129983287974400 is a wasteful number, since it uses less digits than its factorization.

129983287974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 73.

The spelling of 129983287974400 in words is "one hundred twenty-nine trillion, nine hundred eighty-three billion, two hundred eighty-seven million, nine hundred seventy-four thousand, four hundred".