129520806395904 has 1600 divisors, whose sum is σ = 487404771955200. Its totient is φ = 33435376680960.

The previous prime is 129520806395887. The next prime is 129520806395909. The reversal of 129520806395904 is 409593608025921.

129520806395904 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 0 + 8 + 0 + 6 + 39 + 590 + 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 (129520806395909) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 794606174127 + ... + 794606174289.

It is an arithmetic number, because the mean of its divisors is an integer number (304627982472).

Almost surely, 2^{129520806395904} is an apocalyptic number.

129520806395904 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 129520806395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243702385977600).

129520806395904 is an abundant number, since it is smaller than the sum of its proper divisors (357883965559296).

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

129520806395904 is an frugal number, since it uses more digits than its factorization.

129520806395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 129520806395904 in words is "one hundred twenty-nine trillion, five hundred twenty billion, eight hundred six million, three hundred ninety-five thousand, nine hundred four".