205084747920 has 160 divisors (see below), whose sum is σ = 685453878144. Its totient is φ = 50424422400.

The previous prime is 205084747913. The next prime is 205084747927. The reversal of 205084747920 is 29747480502.

It is an interprime number because it is at equal distance from previous prime (205084747913) and next prime (205084747927).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 205084747920.

It is not an unprimeable number, because it can be changed into a prime (205084747927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2711415 + ... + 2786025.

Almost surely, 2^205084747920 is an apocalyptic number.

205084747920 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 205084747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342726939072).

205084747920 is an abundant number, since it is smaller than the sum of its proper divisors (480369130224).

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

205084747920 is a wasteful number, since it uses less digits than its factorization.

205084747920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75521 (or 75515 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 205084747920 in words is "two hundred five billion, eighty-four million, seven hundred forty-seven thousand, nine hundred twenty".