20779510801 has 9 divisors (see below), whose sum is σ = 24173257851. Its totient is φ = 17810144352.

The previous prime is 20779510799. The next prime is 20779510811. The reversal of 20779510801 is 10801597702.

The square root of 20779510801 is 144151.

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., 20202358225 + 577152576 = 142135^2 + 24024^2 .

It is not a de Polignac number, because 20779510801 - 2¹ = 20779510799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20779510811) 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, 998761 + ... + 1019353.

It is an arithmetic number, because the mean of its divisors is an integer number (2685917539).

Almost surely, 2^20779510801 is an apocalyptic number.

20779510801 is the 144151-st square number.

20779510801 is the 72076-th centered octagonal number.

It is an amenable number.

20779510801 is a deficient number, since it is larger than the sum of its proper divisors (3393747050).

20779510801 is an frugal number, since it uses more digits than its factorization.

20779510801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41200 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 20779510801 in words is "twenty billion, seven hundred seventy-nine million, five hundred ten thousand, eight hundred one".