129766195200 has 408 divisors, whose sum is σ = 454623433488. Its totient is φ = 32547799040.

The previous prime is 129766195187. The next prime is 129766195253. The reversal of 129766195200 is 2591667921.

It is a tau number, because it is divible by the number of its divisors (408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 129766195200.

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 23 ways as a sum of consecutive naturals, for example, 83557624 + ... + 83559176.

Almost surely, 2^129766195200 is an apocalyptic number.

129766195200 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 129766195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227311716744).

129766195200 is an abundant number, since it is smaller than the sum of its proper divisors (324857238288).

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

129766195200 is an equidigital number, since it uses as much as digits as its factorization.

129766195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 129766195200 in words is "one hundred twenty-nine billion, seven hundred sixty-six million, one hundred ninety-five thousand, two hundred".