20276261508889 has 81 divisors (see below), whose sum is σ = 22618726379613. Its totient is φ = 18173917105344.

The previous prime is 20276261508809. The next prime is 20276261508907. The reversal of 20276261508889 is 98880516267202.

The square root of 20276261508889 is 4502917.

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

It can be written as a sum of positive squares in 4 ways, for example, as 715030904025 + 19561230604864 = 845595^2 + 4422808^2 .

It is not a de Polignac number, because 20276261508889 - 2⁷ = 20276261508761 is a prime.

It is a super-2 number, since 2×20276261508889² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20276261508889.

It is not an unprimeable number, because it can be changed into a prime (20276261508809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 129148162399 + ... + 129148162555.

Almost surely, 2^{20276261508889} is an apocalyptic number.

20276261508889 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20276261508889 is the 4502917-th square number.

20276261508889 is the 2251459-th centered octagonal number.

It is an amenable number.

20276261508889 is a deficient number, since it is larger than the sum of its proper divisors (2342464870724).

20276261508889 is an frugal number, since it uses more digits than its factorization.

20276261508889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 20276261508889 in words is "twenty trillion, two hundred seventy-six billion, two hundred sixty-one million, five hundred eight thousand, eight hundred eighty-nine".