80129936643120 has 960 divisors, whose sum is σ = 355213834859520. Its totient is φ = 15714503221248.

The previous prime is 80129936643083. The next prime is 80129936643151. The reversal of 80129936643120 is 2134663992108.

80129936643120 is a `hidden beast` number, since 8 + 0 + 1 + 299 + 36 + 6 + 4 + 312 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65371399 + ... + 66585881.

It is an arithmetic number, because the mean of its divisors is an integer number (370014411312).

Almost surely, 2^{80129936643120} is an apocalyptic number.

80129936643120 is a gapful number since it is divisible by the number (80) 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 80129936643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177606917429760).

80129936643120 is an abundant number, since it is smaller than the sum of its proper divisors (275083898216400).

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

80129936643120 is a wasteful number, since it uses less digits than its factorization.

80129936643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214594 (or 1214585 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 80129936643120 in words is "eighty trillion, one hundred twenty-nine billion, nine hundred thirty-six million, six hundred forty-three thousand, one hundred twenty".