209027405952 has 256 divisors, whose sum is σ = 644720947200. Its totient is φ = 66605220864.

The previous prime is 209027405891. The next prime is 209027405959. The reversal of 209027405952 is 259504720902.

It is a junction number, because it is equal to n+sod(n) for n = 209027405898 and 209027405907.

It is not an unprimeable number, because it can be changed into a prime (209027405959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6969613 + ... + 6999539.

It is an arithmetic number, because the mean of its divisors is an integer number (2518441200).

Almost surely, 2^209027405952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209027405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322360473600).

209027405952 is an abundant number, since it is smaller than the sum of its proper divisors (435693541248).

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

209027405952 is a wasteful number, since it uses less digits than its factorization.

209027405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30040 (or 30022 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 209027405952 in words is "two hundred nine billion, twenty-seven million, four hundred five thousand, nine hundred fifty-two".