129503985408 has 576 divisors, whose sum is σ = 463873536000. Its totient is φ = 34813587456.

The previous prime is 129503985407. The next prime is 129503985437. The reversal of 129503985408 is 804589305921.

129503985408 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 0 + 3 + 98 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129503985407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164553591 + ... + 164554377.

It is an arithmetic number, because the mean of its divisors is an integer number (805336000).

Almost surely, 2^129503985408 is an apocalyptic number.

129503985408 is a gapful number since it is divisible by the number (18) 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 129503985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231936768000).

129503985408 is an abundant number, since it is smaller than the sum of its proper divisors (334369550592).

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

129503985408 is a wasteful number, since it uses less digits than its factorization.

129503985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 129503985408 in words is "one hundred twenty-nine billion, five hundred three million, nine hundred eighty-five thousand, four hundred eight".