129978478080 has 960 divisors, whose sum is σ = 513480135168. Its totient is φ = 30107566080.

The previous prime is 129978478033. The next prime is 129978478087. The reversal of 129978478080 is 80874879921.

129978478080 is a `hidden beast` number, since 1 + 2 + 99 + 78 + 478 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 129978477999 and 129978478017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129978478087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778314157 + ... + 778314323.

Almost surely, 2^129978478080 is an apocalyptic number.

129978478080 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 129978478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256740067584).

129978478080 is an abundant number, since it is smaller than the sum of its proper divisors (383501657088).

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

129978478080 is a wasteful number, since it uses less digits than its factorization.

129978478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 129978478080 in words is "one hundred twenty-nine billion, nine hundred seventy-eight million, four hundred seventy-eight thousand, eighty".