20872884417 has 48 divisors (see below), whose sum is σ = 35609598144. Its totient is φ = 10842955200.

The previous prime is 20872884341. The next prime is 20872884419. The reversal of 20872884417 is 71448827802.

It is a happy number.

It is not a de Polignac number, because 20872884417 - 2⁸ = 20872884161 is a prime.

It is a super-3 number, since 3×20872884417³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20872884417.

It is not an unprimeable number, because it can be changed into a prime (20872884419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142317 + ... + 248997.

It is an arithmetic number, because the mean of its divisors is an integer number (741866628).

Almost surely, 2^20872884417 is an apocalyptic number.

It is an amenable number.

20872884417 is a deficient number, since it is larger than the sum of its proper divisors (14736713727).

20872884417 is a wasteful number, since it uses less digits than its factorization.

20872884417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106731 (or 106702 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 20872884417 in words is "twenty billion, eight hundred seventy-two million, eight hundred eighty-four thousand, four hundred seventeen".