129395097216 has 1280 divisors, whose sum is σ = 520378214400. Its totient is φ = 31039303680.

The previous prime is 129395097163. The next prime is 129395097311. The reversal of 129395097216 is 612790593921.

129395097216 is a `hidden beast` number, since 1 + 29 + 39 + 509 + 72 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4461899890 + ... + 4461899918.

It is an arithmetic number, because the mean of its divisors is an integer number (406545480).

Almost surely, 2^129395097216 is an apocalyptic number.

129395097216 is a gapful number since it is divisible by the number (16) 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 129395097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260189107200).

129395097216 is an abundant number, since it is smaller than the sum of its proper divisors (390983117184).

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

129395097216 is an frugal number, since it uses more digits than its factorization.

129395097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 129395097216 in words is "one hundred twenty-nine billion, three hundred ninety-five million, ninety-seven thousand, two hundred sixteen".