205349713920 has 1536 divisors, whose sum is σ = 862977024000. Its totient is φ = 45864714240.

The previous prime is 205349713853. The next prime is 205349714029. The reversal of 205349713920 is 29317943502.

205349713920 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 497 + 139 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2117007312 + ... + 2117007408.

It is an arithmetic number, because the mean of its divisors is an integer number (561834000).

Almost surely, 2^205349713920 is an apocalyptic number.

205349713920 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 205349713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431488512000).

205349713920 is an abundant number, since it is smaller than the sum of its proper divisors (657627310080).

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

205349713920 is a wasteful number, since it uses less digits than its factorization.

205349713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 205349713920 in words is "two hundred five billion, three hundred forty-nine million, seven hundred thirteen thousand, nine hundred twenty".