129973584960 has 448 divisors, whose sum is σ = 466780473600. Its totient is φ = 34465720320.

The previous prime is 129973584947. The next prime is 129973584977. The reversal of 129973584960 is 69485379921.

129973584960 is a `hidden beast` number, since 1 + 2 + 9 + 97 + 3 + 58 + 496 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 160262955 + ... + 160263765.

It is an arithmetic number, because the mean of its divisors is an integer number (1041920700).

It is a 1-persistent number, because it is pandigital, but 2⋅129973584960 = 259947169920 is not.

Almost surely, 2^129973584960 is an apocalyptic number.

129973584960 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 129973584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233390236800).

129973584960 is an abundant number, since it is smaller than the sum of its proper divisors (336806888640).

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

129973584960 is an frugal number, since it uses more digits than its factorization.

129973584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 129973584960 in words is "one hundred twenty-nine billion, nine hundred seventy-three million, five hundred eighty-four thousand, nine hundred sixty".