129780806400 has 648 divisors, whose sum is σ = 535326952160. Its totient is φ = 29382082560.

The previous prime is 129780806399. The next prime is 129780806401. The reversal of 129780806400 is 4608087921.

129780806400 is a `hidden beast` number, since 1 + 2 + 97 + 80 + 80 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (129780806399) and next prime (129780806401).

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

It is not an unprimeable number, because it can be changed into a prime (129780806401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43947324 + ... + 43950276.

Almost surely, 2^129780806400 is an apocalyptic number.

129780806400 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 129780806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267663476080).

129780806400 is an abundant number, since it is smaller than the sum of its proper divisors (405546145760).

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

129780806400 is a wasteful number, since it uses less digits than its factorization.

129780806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 129780806400 in words is "one hundred twenty-nine billion, seven hundred eighty million, eight hundred six thousand, four hundred".