205430054544 has 240 divisors, whose sum is σ = 679214652480. Its totient is φ = 57140904960.

The previous prime is 205430054519. The next prime is 205430054549. The reversal of 205430054544 is 445450034502.

205430054544 is a `hidden beast` number, since 20 + 5 + 43 + 0 + 0 + 54 + 544 = 666.

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 = 205430054499 and 205430054508.

It is not an unprimeable number, because it can be changed into a prime (205430054549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658102 + ... + 3713834.

It is an arithmetic number, because the mean of its divisors is an integer number (2830061052).

Almost surely, 2^205430054544 is an apocalyptic number.

205430054544 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 205430054544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339607326240).

205430054544 is an abundant number, since it is smaller than the sum of its proper divisors (473784597936).

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

205430054544 is a wasteful number, since it uses less digits than its factorization.

205430054544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55950 (or 55941 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 205430054544 in words is "two hundred five billion, four hundred thirty million, fifty-four thousand, five hundred forty-four".