129632064400800 has 1728 divisors, whose sum is σ = 528676162560000. Its totient is φ = 30780642816000.

The previous prime is 129632064400793. The next prime is 129632064400819. The reversal of 129632064400800 is 8004460236921.

129632064400800 is a `hidden beast` number, since 1 + 2 + 9 + 632 + 0 + 6 + 4 + 4 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25931596701 + ... + 25931601699.

Almost surely, 2^{129632064400800} is an apocalyptic number.

129632064400800 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 129632064400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264338081280000).

129632064400800 is an abundant number, since it is smaller than the sum of its proper divisors (399044098159200).

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

129632064400800 is a wasteful number, since it uses less digits than its factorization.

129632064400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 129632064400800 in words is "one hundred twenty-nine trillion, six hundred thirty-two billion, sixty-four million, four hundred thousand, eight hundred".