27128483712001 has 16 divisors (see below), whose sum is σ = 31142691509760. Its totient is φ = 23149083746880.

The previous prime is 27128483711887. The next prime is 27128483712049. The reversal of 27128483712001 is 10021738482172.

It is not a de Polignac number, because 27128483712001 - 2¹⁵ = 27128483679233 is a prime.

It is a super-2 number, since 2×27128483712001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27128483712101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929690 + ... + 7927171.

It is an arithmetic number, because the mean of its divisors is an integer number (1946418219360).

Almost surely, 2^{27128483712001} is an apocalyptic number.

It is an amenable number.

27128483712001 is a deficient number, since it is larger than the sum of its proper divisors (4014207797759).

27128483712001 is a wasteful number, since it uses less digits than its factorization.

27128483712001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10858464.

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 27128483712001 in words is "twenty-seven trillion, one hundred twenty-eight billion, four hundred eighty-three million, seven hundred twelve thousand, one".