205290307152 has 240 divisors, whose sum is σ = 694991489920. Its totient is φ = 55259366400.

The previous prime is 205290307139. The next prime is 205290307153. The reversal of 205290307152 is 251703092502.

205290307152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205290307152² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205290307153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436902 + ... + 3496122.

Almost surely, 2^205290307152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205290307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347495744960).

205290307152 is an abundant number, since it is smaller than the sum of its proper divisors (489701182768).

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

205290307152 is a wasteful number, since it uses less digits than its factorization.

205290307152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59442 (or 59433 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 205290307152 its reverse (251703092502), we get a palindrome (456993399654).

The spelling of 205290307152 in words is "two hundred five billion, two hundred ninety million, three hundred seven thousand, one hundred fifty-two".