10827905408901 has 32 divisors (see below), whose sum is σ = 18334701158400. Its totient is φ = 6186787398000.

The previous prime is 10827905408891. The next prime is 10827905408941. The reversal of 10827905408901 is 10980450972801.

It is a happy number.

10827905408901 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 9 + 0 + 540 + 8 + 90 + 1 = 666.

10827905408901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10827905408901 - 2¹⁰ = 10827905407877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827905408941) 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, 717225 + ... + 4708526.

It is an arithmetic number, because the mean of its divisors is an integer number (572959411200).

Almost surely, 2^{10827905408901} is an apocalyptic number.

It is an amenable number.

10827905408901 is a deficient number, since it is larger than the sum of its proper divisors (7506795749499).

10827905408901 is a wasteful number, since it uses less digits than its factorization.

10827905408901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436326 (or 5436320 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10827905408901 in words is "ten trillion, eight hundred twenty-seven billion, nine hundred five million, four hundred eight thousand, nine hundred one".