205613244540 has 288 divisors, whose sum is σ = 694345369536. Its totient is φ = 48826552320.

The previous prime is 205613244521. The next prime is 205613244583. The reversal of 205613244540 is 45442316502.

205613244540 is a `hidden beast` number, since 2 + 0 + 561 + 3 + 2 + 44 + 54 + 0 = 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 = 205613244495 and 205613244504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89512672 + ... + 89514968.

It is an arithmetic number, because the mean of its divisors is an integer number (2410921422).

Almost surely, 2^205613244540 is an apocalyptic number.

205613244540 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 205613244540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347172684768).

205613244540 is an abundant number, since it is smaller than the sum of its proper divisors (488732124996).

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

205613244540 is a wasteful number, since it uses less digits than its factorization.

205613244540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 205613244540 in words is "two hundred five billion, six hundred thirteen million, two hundred forty-four thousand, five hundred forty".