129816400896 has 1056 divisors, whose sum is σ = 491476512000. Its totient is φ = 34237292544.

The previous prime is 129816400871. The next prime is 129816400913. The reversal of 129816400896 is 698004618921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 95 ways as a sum of consecutive naturals, for example, 9985876986 + ... + 9985876998.

Almost surely, 2^129816400896 is an apocalyptic number.

129816400896 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 129816400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245738256000).

129816400896 is an abundant number, since it is smaller than the sum of its proper divisors (361660111104).

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

129816400896 is an frugal number, since it uses more digits than its factorization.

129816400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 129816400896 in words is "one hundred twenty-nine billion, eight hundred sixteen million, four hundred thousand, eight hundred ninety-six".