129728910819600 has 225 divisors, whose sum is σ = 465594008615967. Its totient is φ = 34593829505280.

The previous prime is 129728910819577. The next prime is 129728910819611. The reversal of 129728910819600 is 6918019827921.

The square root of 129728910819600 is 11389860.

It is a perfect power (a square), and thus also a powerful number.

129728910819600 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 2 + 8 + 9 + 1 + 0 + 8 + 19 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66485954747664 + 63242956071936 = 8153892^2 + 7952544^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2050143162 + ... + 2050206438.

Almost surely, 2^{129728910819600} is an apocalyptic number.

129728910819600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129728910819600 is the 11389860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129728910819600

129728910819600 is an abundant number, since it is smaller than the sum of its proper divisors (335865097796367).

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

129728910819600 is an frugal number, since it uses more digits than its factorization.

129728910819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126584 (or 63287 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 129728910819600 in words is "one hundred twenty-nine trillion, seven hundred twenty-eight billion, nine hundred ten million, eight hundred nineteen thousand, six hundred".