129820083040 has 96 divisors (see below), whose sum is σ = 308120772960. Its totient is φ = 51687972864.

The previous prime is 129820082989. The next prime is 129820083077. The reversal of 129820083040 is 40380028921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49757256 + ... + 49759864.

It is an arithmetic number, because the mean of its divisors is an integer number (3209591385).

Almost surely, 2^129820083040 is an apocalyptic number.

129820083040 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 129820083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154060386480).

129820083040 is an abundant number, since it is smaller than the sum of its proper divisors (178300689920).

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

129820083040 is a wasteful number, since it uses less digits than its factorization.

129820083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 129820083040 in words is "one hundred twenty-nine billion, eight hundred twenty million, eighty-three thousand, forty".