129980354400 has 1152 divisors, whose sum is σ = 544836378240. Its totient is φ = 29620961280.

The previous prime is 129980354393. The next prime is 129980354431. The reversal of 129980354400 is 4453089921.

129980354400 is a `hidden beast` number, since 1 + 29 + 9 + 80 + 3 + 544 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 348472614 + ... + 348472986.

It is an arithmetic number, because the mean of its divisors is an integer number (472948245).

Almost surely, 2^129980354400 is an apocalyptic number.

129980354400 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 129980354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272418189120).

129980354400 is an abundant number, since it is smaller than the sum of its proper divisors (414856023840).

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

129980354400 is a wasteful number, since it uses less digits than its factorization.

129980354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 129980354400 in words is "one hundred twenty-nine billion, nine hundred eighty million, three hundred fifty-four thousand, four hundred".