205254600500 has 96 divisors (see below), whose sum is σ = 460731747840. Its totient is φ = 79851657600.

The previous prime is 205254600497. The next prime is 205254600503. The reversal of 205254600500 is 5006452502.

It is an interprime number because it is at equal distance from previous prime (205254600497) and next prime (205254600503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205254600503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2607722 + ... + 2685278.

It is an arithmetic number, because the mean of its divisors is an integer number (4799289040).

Almost surely, 2^205254600500 is an apocalyptic number.

205254600500 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 205254600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230365873920).

205254600500 is an abundant number, since it is smaller than the sum of its proper divisors (255477147340).

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

205254600500 is a wasteful number, since it uses less digits than its factorization.

205254600500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77722 (or 77710 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 205254600500 in words is "two hundred five billion, two hundred fifty-four million, six hundred thousand, five hundred".