207084513094968 has 128 divisors (see below), whose sum is σ = 528491137075200. Its totient is φ = 67595925196800.

The previous prime is 207084513094919. The next prime is 207084513094981. The reversal of 207084513094968 is 869490315480702.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 207084513094899 and 207084513094908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2503367848 + ... + 2503450568.

It is an arithmetic number, because the mean of its divisors is an integer number (4128837008400).

It is a 1-persistent number, because it is pandigital, but 2⋅207084513094968 = 414169026189936 is not.

Almost surely, 2^{207084513094968} 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 207084513094968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264245568537600).

207084513094968 is an abundant number, since it is smaller than the sum of its proper divisors (321406623980232).

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

207084513094968 is a wasteful number, since it uses less digits than its factorization.

207084513094968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86533 (or 86529 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 207084513094968 in words is "two hundred seven trillion, eighty-four billion, five hundred thirteen million, ninety-four thousand, nine hundred sixty-eight".