129533008896 has 704 divisors, whose sum is σ = 430125465600. Its totient is φ = 38320128000.

The previous prime is 129533008859. The next prime is 129533008909. The reversal of 129533008896 is 698800335921.

129533008896 is a `hidden beast` number, since 1 + 29 + 533 + 0 + 0 + 8 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857834421 + ... + 857834571.

Almost surely, 2^129533008896 is an apocalyptic number.

129533008896 is a gapful number since it is divisible by the number (16) 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 129533008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215062732800).

129533008896 is an abundant number, since it is smaller than the sum of its proper divisors (300592456704).

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

129533008896 is a wasteful number, since it uses less digits than its factorization.

129533008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129533008896 in words is "one hundred twenty-nine billion, five hundred thirty-three million, eight thousand, eight hundred ninety-six".