129005585280 has 2048 divisors, whose sum is σ = 590739609600. Its totient is φ = 26117406720.

The previous prime is 129005585279. The next prime is 129005585309. The reversal of 129005585280 is 82585500921.

It is a happy number.

129005585280 is a `hidden beast` number, since 1 + 2 + 90 + 0 + 558 + 5 + 2 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1554284119 + ... + 1554284201.

It is an arithmetic number, because the mean of its divisors is an integer number (288447075).

Almost surely, 2^129005585280 is an apocalyptic number.

129005585280 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 129005585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295369804800).

129005585280 is an abundant number, since it is smaller than the sum of its proper divisors (461734024320).

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

129005585280 is a wasteful number, since it uses less digits than its factorization.

129005585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 129005585280 in words is "one hundred twenty-nine billion, five million, five hundred eighty-five thousand, two hundred eighty".