205196070960 has 80 divisors (see below), whose sum is σ = 706786474080. Its totient is φ = 54718951680.

The previous prime is 205196070953. The next prime is 205196070983. The reversal of 205196070960 is 69070691502.

It is a happy number.

205196070960 is a `hidden beast` number, since 2 + 0 + 519 + 6 + 0 + 70 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47496931 + ... + 47501250.

It is an arithmetic number, because the mean of its divisors is an integer number (8834830926).

Almost surely, 2^205196070960 is an apocalyptic number.

205196070960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205196070960 is an abundant number, since it is smaller than the sum of its proper divisors (501590403120).

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

205196070960 is a wasteful number, since it uses less digits than its factorization.

205196070960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94998203 (or 94998191 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 205196070960 in words is "two hundred five billion, one hundred ninety-six million, seventy thousand, nine hundred sixty".