205506096640 has 480 divisors, whose sum is σ = 588826687680. Its totient is φ = 68237131776.

The previous prime is 205506096629. The next prime is 205506096667. The reversal of 205506096640 is 46690605502.

It is a congruent number.

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, 221211696 + ... + 221212624.

It is an arithmetic number, because the mean of its divisors is an integer number (1226722266).

Almost surely, 2^205506096640 is an apocalyptic number.

205506096640 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 205506096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294413343840).

205506096640 is an abundant number, since it is smaller than the sum of its proper divisors (383320591040).

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

205506096640 is a wasteful number, since it uses less digits than its factorization.

205506096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 205506096640 in words is "two hundred five billion, five hundred six million, ninety-six thousand, six hundred forty".