204933980160 has 1344 divisors, whose sum is σ = 901667894400. Its totient is φ = 41901096960.

The previous prime is 204933980117. The next prime is 204933980171. The reversal of 204933980160 is 61089339402.

It is a happy number.

204933980160 is a `hidden beast` number, since 20 + 493 + 3 + 9 + 80 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1375395766 + ... + 1375395914.

It is an arithmetic number, because the mean of its divisors is an integer number (670883850).

Almost surely, 2^204933980160 is an apocalyptic number.

204933980160 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 204933980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450833947200).

204933980160 is an abundant number, since it is smaller than the sum of its proper divisors (696733914240).

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

204933980160 is a wasteful number, since it uses less digits than its factorization.

204933980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 204933980160 in words is "two hundred four billion, nine hundred thirty-three million, nine hundred eighty thousand, one hundred sixty".