30951728640001 has 8 divisors (see below), whose sum is σ = 33879067415144. Its totient is φ = 28102452232320.

The previous prime is 30951728639989. The next prime is 30951728640011. The reversal of 30951728640001 is 10004682715903.

It can be written as a sum of positive squares in 4 ways, for example, as 66589286401 + 30885139353600 = 258049^2 + 5557440^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 30951728640001 - 2⁵ = 30951728639969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30951728640011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19515591036 + ... + 19515592621.

It is an arithmetic number, because the mean of its divisors is an integer number (4234883426893).

It is a 2-persistent number, because it is pandigital, and so is 2⋅30951728640001 = 61903457280002, but 3⋅30951728640001 = 92855185920003 is not.

Almost surely, 2^{30951728640001} is an apocalyptic number.

It is an amenable number.

30951728640001 is a deficient number, since it is larger than the sum of its proper divisors (2927338775143).

30951728640001 is a wasteful number, since it uses less digits than its factorization.

30951728640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39031183731.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 30951728640001 in words is "thirty trillion, nine hundred fifty-one billion, seven hundred twenty-eight million, six hundred forty thousand, one".