20777196356401 has 27 divisors (see below), whose sum is σ = 21365919161643. Its totient is φ = 20204499424560.

The previous prime is 20777196356347. The next prime is 20777196356419. The reversal of 20777196356401 is 10465369177702.

It is a happy number.

The square root of 20777196356401 is 4558201.

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

It can be written as a sum of positive squares in only one way, i.e., 19658094725025 + 1119101631376 = 4433745^2 + 1057876^2 .

It is not a de Polignac number, because 20777196356401 - 2²⁷ = 20777062138673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20777196356701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62770985806 + ... + 62770986136.

Almost surely, 2^{20777196356401} is an apocalyptic number.

20777196356401 is the 4558201-st square number.

20777196356401 is the 2279101-st centered octagonal number.

It is an amenable number.

20777196356401 is a deficient number, since it is larger than the sum of its proper divisors (588722805242).

20777196356401 is an frugal number, since it uses more digits than its factorization.

20777196356401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 58.

The spelling of 20777196356401 in words is "twenty trillion, seven hundred seventy-seven billion, one hundred ninety-six million, three hundred fifty-six thousand, four hundred one".