129350027520 has 1728 divisors, whose sum is σ = 577805114880. Its totient is φ = 27590492160.

The previous prime is 129350027509. The next prime is 129350027537. The reversal of 129350027520 is 25720053921.

129350027520 is a `hidden beast` number, since 12 + 9 + 350 + 0 + 275 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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 191 ways as a sum of consecutive naturals, for example, 3154878700 + ... + 3154878740.

It is an arithmetic number, because the mean of its divisors is an integer number (334377960).

Almost surely, 2^129350027520 is an apocalyptic number.

129350027520 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 129350027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288902557440).

129350027520 is an abundant number, since it is smaller than the sum of its proper divisors (448455087360).

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

129350027520 is an frugal number, since it uses more digits than its factorization.

129350027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 129350027520 in words is "one hundred twenty-nine billion, three hundred fifty million, twenty-seven thousand, five hundred twenty".