129285138530400 has 576 divisors, whose sum is σ = 426920516338176. Its totient is φ = 33981143040000.

The previous prime is 129285138530381. The next prime is 129285138530407. The reversal of 129285138530400 is 4035831582921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129285138530407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25748879890 + ... + 25748884910.

It is an arithmetic number, because the mean of its divisors is an integer number (741181451976).

Almost surely, 2^{129285138530400} is an apocalyptic number.

129285138530400 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 129285138530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213460258169088).

129285138530400 is an abundant number, since it is smaller than the sum of its proper divisors (297635377807776).

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

129285138530400 is a wasteful number, since it uses less digits than its factorization.

129285138530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 129285138530400 in words is "one hundred twenty-nine trillion, two hundred eighty-five billion, one hundred thirty-eight million, five hundred thirty thousand, four hundred".