205696420200 has 72 divisors (see below), whose sum is σ = 690797150550. Its totient is φ = 54852378240.

The previous prime is 205696420133. The next prime is 205696420207. The reversal of 205696420200 is 2024696502.

205696420200 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 9 + 642 + 0 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76238940996 + 129457479204 = 276114^2 + 359802^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×205696420200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205696420207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57136095 + ... + 57139694.

Almost surely, 2^205696420200 is an apocalyptic number.

205696420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205696420200 is an abundant number, since it is smaller than the sum of its proper divisors (485100730350).

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

205696420200 is a wasteful number, since it uses less digits than its factorization.

205696420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114275811 (or 114275799 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 205696420200 in words is "two hundred five billion, six hundred ninety-six million, four hundred twenty thousand, two hundred".