129782057920 has 112 divisors (see below), whose sum is σ = 317352688128. Its totient is φ = 50534645760.

The previous prime is 129782057893. The next prime is 129782057921. The reversal of 129782057920 is 29750287921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129782057921) 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 15 ways as a sum of consecutive naturals, for example, 1859169 + ... + 1927711.

It is an arithmetic number, because the mean of its divisors is an integer number (2833506144).

Almost surely, 2^129782057920 is an apocalyptic number.

129782057920 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 129782057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158676344064).

129782057920 is an abundant number, since it is smaller than the sum of its proper divisors (187570630208).

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

129782057920 is an equidigital number, since it uses as much as digits as its factorization.

129782057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68718 (or 68708 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 129782057920 in words is "one hundred twenty-nine billion, seven hundred eighty-two million, fifty-seven thousand, nine hundred twenty".