205967276130 has 128 divisors (see below), whose sum is σ = 618696714240. Its totient is φ = 42631741440.

The previous prime is 205967276129. The next prime is 205967276147. The reversal of 205967276130 is 31672769502.

205967276130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205967276130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420201 + ... + 767139.

It is an arithmetic number, because the mean of its divisors is an integer number (4833568080).

Almost surely, 2^205967276130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205967276130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309348357120).

205967276130 is an abundant number, since it is smaller than the sum of its proper divisors (412729438110).

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

205967276130 is a wasteful number, since it uses less digits than its factorization.

205967276130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347224.

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 205967276130 in words is "two hundred five billion, nine hundred sixty-seven million, two hundred seventy-six thousand, one hundred thirty".