129648397824000 has 2080 divisors, whose sum is σ = 541609209041472. Its totient is φ = 30576476160000.

The previous prime is 129648397823977. The next prime is 129648397824031. The reversal of 129648397824000 is 428793846921.

129648397824000 is a `hidden beast` number, since 1 + 2 + 9 + 64 + 8 + 3 + 97 + 82 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16879100160 + ... + 16879107840.

Almost surely, 2^{129648397824000} is an apocalyptic number.

129648397824000 is a gapful number since it is divisible by the number (10) 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 129648397824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270804604520736).

129648397824000 is an abundant number, since it is smaller than the sum of its proper divisors (411960811217472).

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

129648397824000 is an equidigital number, since it uses as much as digits as its factorization.

129648397824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 129648397824000 in words is "one hundred twenty-nine trillion, six hundred forty-eight billion, three hundred ninety-seven million, eight hundred twenty-four thousand".