129493728000 has 2016 divisors, whose sum is σ = 605027859072. Its totient is φ = 26873856000.

The previous prime is 129493727983. The next prime is 129493728037. The reversal of 129493728000 is 827394921.

129493728000 is a `hidden beast` number, since 12 + 9 + 493 + 72 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2122847970 + ... + 2122848030.

Almost surely, 2^129493728000 is an apocalyptic number.

129493728000 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 129493728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302513929536).

129493728000 is an abundant number, since it is smaller than the sum of its proper divisors (475534131072).

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

129493728000 is an frugal number, since it uses more digits than its factorization.

129493728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 129493728000 in words is "one hundred twenty-nine billion, four hundred ninety-three million, seven hundred twenty-eight thousand".