20757072216049 has 27 divisors (see below), whose sum is σ = 22716986853123. Its totient is φ = 18957596216832.

The previous prime is 20757072215987. The next prime is 20757072216059. The reversal of 20757072216049 is 94061227075702.

The square root of 20757072216049 is 4555993.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17334690615025 + 3422381601024 = 4163495^2 + 1849968^2 .

It is not a de Polignac number, because 20757072216049 - 2¹⁹ = 20757071691761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20757072215987 and 20757072216005.

It is not an unprimeable number, because it can be changed into a prime (20757072216059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5745105367 + ... + 5745108979.

It is an arithmetic number, because the mean of its divisors is an integer number (841369883449).

Almost surely, 2^{20757072216049} is an apocalyptic number.

20757072216049 is the 4555993-rd square number.

20757072216049 is the 2277997-th centered octagonal number.

It is an amenable number.

20757072216049 is a deficient number, since it is larger than the sum of its proper divisors (1959914637074).

20757072216049 is an frugal number, since it uses more digits than its factorization.

20757072216049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 20757072216049 in words is "twenty trillion, seven hundred fifty-seven billion, seventy-two million, two hundred sixteen thousand, forty-nine".