129771694080 has 1440 divisors, whose sum is σ = 563960517120. Its totient is φ = 28426567680.

The previous prime is 129771694067. The next prime is 129771694099. The reversal of 129771694080 is 80496177921.

129771694080 is a `hidden beast` number, since 1 + 2 + 9 + 77 + 169 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1259919309 + ... + 1259919411.

It is an arithmetic number, because the mean of its divisors is an integer number (391639248).

Almost surely, 2^129771694080 is an apocalyptic number.

129771694080 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 129771694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281980258560).

129771694080 is an abundant number, since it is smaller than the sum of its proper divisors (434188823040).

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

129771694080 is a wasteful number, since it uses less digits than its factorization.

129771694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 129771694080 in words is "one hundred twenty-nine billion, seven hundred seventy-one million, six hundred ninety-four thousand, eighty".