10779408806401 has 9 divisors (see below), whose sum is σ = 10942920110241. Its totient is φ = 10618305416532.

The previous prime is 10779408806357. The next prime is 10779408806417. The reversal of 10779408806401 is 10460880497701.

The square root of 10779408806401 is 3283201.

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

It is not a de Polignac number, because 10779408806401 - 2⁹ = 10779408805889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10779408809401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219949966 + ... + 219998968.

It is an arithmetic number, because the mean of its divisors is an integer number (1215880012249).

Almost surely, 2^{10779408806401} is an apocalyptic number.

10779408806401 is the 3283201-st square number.

10779408806401 is the 1641601-st centered octagonal number.

It is an amenable number.

10779408806401 is a deficient number, since it is larger than the sum of its proper divisors (163511303840).

10779408806401 is an frugal number, since it uses more digits than its factorization.

10779408806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98140 (or 49070 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 10779408806401 in words is "ten trillion, seven hundred seventy-nine billion, four hundred eight million, eight hundred six thousand, four hundred one".