129579520000 has 390 divisors, whose sum is σ = 377036464398. Its totient is φ = 44384256000.

The previous prime is 129579519997. The next prime is 129579520001. The reversal of 129579520000 is 25975921.

It can be written as a sum of positive squares in 5 ways, for example, as 17584881664 + 111994638336 = 132608^2 + 334656^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (129579520001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 125439484 + ... + 125440516.

Almost surely, 2^129579520000 is an apocalyptic number.

129579520000 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 129579520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188518232199).

129579520000 is an abundant number, since it is smaller than the sum of its proper divisors (247456944398).

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

129579520000 is an frugal number, since it uses more digits than its factorization.

129579520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 129579520000 in words is "one hundred twenty-nine billion, five hundred seventy-nine million, five hundred twenty thousand".