129726620985024 has 896 divisors, whose sum is σ = 450561344808960. Its totient is φ = 35831409868800.

The previous prime is 129726620985023. The next prime is 129726620985077. The reversal of 129726620985024 is 420589026627921.

129726620985024 is a `hidden beast` number, since 1 + 2 + 97 + 266 + 209 + 85 + 0 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (129726620985023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67111546362 + ... + 67111548294.

It is an arithmetic number, because the mean of its divisors is an integer number (502858643760).

Almost surely, 2^{129726620985024} is an apocalyptic number.

129726620985024 is a gapful number since it is divisible by the number (14) 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 129726620985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225280672404480).

129726620985024 is an abundant number, since it is smaller than the sum of its proper divisors (320834723823936).

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

129726620985024 is a wasteful number, since it uses less digits than its factorization.

129726620985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 129726620985024 in words is "one hundred twenty-nine trillion, seven hundred twenty-six billion, six hundred twenty million, nine hundred eighty-five thousand, twenty-four".