1829809728001 has 32 divisors (see below), whose sum is σ = 2039938048512. Its totient is φ = 1633478768640.

The previous prime is 1829809727981. The next prime is 1829809728037. The reversal of 1829809728001 is 1008279089281.

It is a cyclic number.

It is not a de Polignac number, because 1829809728001 - 2⁷ = 1829809727873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1829809729001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33679080 + ... + 33733366.

It is an arithmetic number, because the mean of its divisors is an integer number (63748064016).

Almost surely, 2^{1829809728001} is an apocalyptic number.

It is an amenable number.

1829809728001 is a deficient number, since it is larger than the sum of its proper divisors (210128320511).

1829809728001 is a wasteful number, since it uses less digits than its factorization.

1829809728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55689.

The product of its (nonzero) digits is 1161216, while the sum is 55.

The spelling of 1829809728001 in words is "one trillion, eight hundred twenty-nine billion, eight hundred nine million, seven hundred twenty-eight thousand, one".