129807380880 has 240 divisors, whose sum is σ = 448373802240. Its totient is φ = 33634560000.

The previous prime is 129807380863. The next prime is 129807380881. The reversal of 129807380880 is 88083708921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×129807380880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129807380881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7400761 + ... + 7418279.

It is an arithmetic number, because the mean of its divisors is an integer number (1868224176).

Almost surely, 2^129807380880 is an apocalyptic number.

129807380880 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 129807380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224186901120).

129807380880 is an abundant number, since it is smaller than the sum of its proper divisors (318566421360).

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

129807380880 is a wasteful number, since it uses less digits than its factorization.

129807380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17830 (or 17821 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 129807380880 in words is "one hundred twenty-nine billion, eight hundred seven million, three hundred eighty thousand, eight hundred eighty".