205953490944 has 224 divisors, whose sum is σ = 646100958240. Its totient is φ = 64611680256.

The previous prime is 205953490931. The next prime is 205953490973. The reversal of 205953490944 is 449094359502.

205953490944 is a `hidden beast` number, since 2 + 0 + 595 + 3 + 4 + 9 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×205953490944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3732742 + ... + 3787514.

Almost surely, 2^205953490944 is an apocalyptic number.

205953490944 is a gapful number since it is divisible by the number (24) 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 205953490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323050479120).

205953490944 is an abundant number, since it is smaller than the sum of its proper divisors (440147467296).

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

205953490944 is an equidigital number, since it uses as much as digits as its factorization.

205953490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54825 (or 54795 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 205953490944 in words is "two hundred five billion, nine hundred fifty-three million, four hundred ninety thousand, nine hundred forty-four".