129253931089920 has 2304 divisors, whose sum is σ = 573182673960960. Its totient is φ = 27243640258560.

The previous prime is 129253931089897. The next prime is 129253931089957. The reversal of 129253931089920 is 29980139352921.

129253931089920 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 539 + 3 + 1 + 0 + 8 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130427780625 + ... + 130427781615.

It is an arithmetic number, because the mean of its divisors is an integer number (248777202240).

Almost surely, 2^{129253931089920} is an apocalyptic number.

129253931089920 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 129253931089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286591336980480).

129253931089920 is an abundant number, since it is smaller than the sum of its proper divisors (443928742871040).

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

129253931089920 is an frugal number, since it uses more digits than its factorization.

129253931089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 129253931089920 in words is "one hundred twenty-nine trillion, two hundred fifty-three billion, nine hundred thirty-one million, eighty-nine thousand, nine hundred twenty".