208556586112072 has 16 divisors (see below), whose sum is σ = 426593017047600. Its totient is φ = 94798448232720.

The previous prime is 208556586112033. The next prime is 208556586112109. The reversal of 208556586112072 is 270211685655802.

It is a happy number.

It is a super-2 number, since 2×208556586112072² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208556586111998 and 208556586112016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1184980602822 + ... + 1184980602997.

It is an arithmetic number, because the mean of its divisors is an integer number (26662063565475).

Almost surely, 2^{208556586112072} is an apocalyptic number.

208556586112072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

208556586112072 is an abundant number, since it is smaller than the sum of its proper divisors (218036430935528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208556586112072 is a wasteful number, since it uses less digits than its factorization.

208556586112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369961205836 (or 2369961205832 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 58.

The spelling of 208556586112072 in words is "two hundred eight trillion, five hundred fifty-six billion, five hundred eighty-six million, one hundred twelve thousand, seventy-two".