129185416080 has 400 divisors, whose sum is σ = 530464619520. Its totient is φ = 28509594624.

The previous prime is 129185416079. The next prime is 129185416099. The reversal of 129185416080 is 80614581921.

It is a happy number.

129185416080 is a `hidden beast` number, since 1 + 29 + 1 + 8 + 541 + 6 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1266337 + ... + 1364543.

Almost surely, 2^129185416080 is an apocalyptic number.

129185416080 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 129185416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265232309760).

129185416080 is an abundant number, since it is smaller than the sum of its proper divisors (401279203440).

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

129185416080 is a wasteful number, since it uses less digits than its factorization.

129185416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98268 (or 98253 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 129185416080 in words is "one hundred twenty-nine billion, one hundred eighty-five million, four hundred sixteen thousand, eighty".