205164677120 has 192 divisors, whose sum is σ = 538078282560. Its totient is φ = 74619224064.

The previous prime is 205164677111. The next prime is 205164677129. The reversal of 205164677120 is 21776461502.

It is an interprime number because it is at equal distance from previous prime (205164677111) and next prime (205164677129).

It is not an unprimeable number, because it can be changed into a prime (205164677129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8907539 + ... + 8930541.

It is an arithmetic number, because the mean of its divisors is an integer number (2802491055).

Almost surely, 2^205164677120 is an apocalyptic number.

205164677120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205164677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269039141280).

205164677120 is an abundant number, since it is smaller than the sum of its proper divisors (332913605440).

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

205164677120 is a wasteful number, since it uses less digits than its factorization.

205164677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110 (or 23090 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 205164677120 in words is "two hundred five billion, one hundred sixty-four million, six hundred seventy-seven thousand, one hundred twenty".