205953006240 has 288 divisors, whose sum is σ = 765736493760. Its totient is φ = 51689852928.

The previous prime is 205953006227. The next prime is 205953006263. The reversal of 205953006240 is 42600359502.

205953006240 is a `hidden beast` number, since 2 + 0 + 595 + 3 + 0 + 0 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 205953006195 and 205953006204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165999 + ... + 1330961.

It is an arithmetic number, because the mean of its divisors is an integer number (2658807270).

Almost surely, 2^205953006240 is an apocalyptic number.

205953006240 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 205953006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382868246880).

205953006240 is an abundant number, since it is smaller than the sum of its proper divisors (559783487520).

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

205953006240 is a wasteful number, since it uses less digits than its factorization.

205953006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165021 (or 164990 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 205953006240 in words is "two hundred five billion, nine hundred fifty-three million, six thousand, two hundred forty".