129878288354880 has 672 divisors, whose sum is σ = 482711062605408. Its totient is φ = 31862528409600.

The previous prime is 129878288354851. The next prime is 129878288354891. The reversal of 129878288354880 is 88453882878921.

129878288354880 is a `hidden beast` number, since 1 + 2 + 9 + 87 + 8 + 28 + 8 + 35 + 488 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 83780923788864 + 46097364566016 = 9153192^2 + 6789504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129878288354880.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18615201952 + ... + 18615208928.

It is an arithmetic number, because the mean of its divisors is an integer number (718320033639).

Almost surely, 2^{129878288354880} is an apocalyptic number.

129878288354880 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 129878288354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355531302704).

129878288354880 is an abundant number, since it is smaller than the sum of its proper divisors (352832774250528).

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

129878288354880 is a wasteful number, since it uses less digits than its factorization.

129878288354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 3963617280, while the sum is 81.

The spelling of 129878288354880 in words is "one hundred twenty-nine trillion, eight hundred seventy-eight billion, two hundred eighty-eight million, three hundred fifty-four thousand, eight hundred eighty".