20859082251111 has 256 divisors, whose sum is σ = 36103611443200. Its totient is φ = 11794935398400.

The previous prime is 20859082251061. The next prime is 20859082251121. The reversal of 20859082251111 is 11115228095802.

20859082251111 is a `hidden beast` number, since 2 + 0 + 8 + 59 + 0 + 82 + 2 + 511 + 1 + 1 = 666.

It is not a de Polignac number, because 20859082251111 - 2¹¹ = 20859082249063 is a prime.

It is a super-2 number, since 2×20859082251111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20859082251121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13061415765 + ... + 13061417361.

It is an arithmetic number, because the mean of its divisors is an integer number (141029732200).

Almost surely, 2^{20859082251111} is an apocalyptic number.

20859082251111 is a deficient number, since it is larger than the sum of its proper divisors (15244529192089).

20859082251111 is a wasteful number, since it uses less digits than its factorization.

20859082251111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 45.

The spelling of 20859082251111 in words is "twenty trillion, eight hundred fifty-nine billion, eighty-two million, two hundred fifty-one thousand, one hundred eleven".