205466502960 has 320 divisors, whose sum is σ = 755265945600. Its totient is φ = 51160854528.

The previous prime is 205466502953. The next prime is 205466502971. The reversal of 205466502960 is 69205664502.

It is a happy number.

205466502960 is a `hidden beast` number, since 2 + 0 + 54 + 6 + 6 + 502 + 96 + 0 = 666.

It is a super-2 number, since 2×205466502960² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4641411 + ... + 4685469.

It is an arithmetic number, because the mean of its divisors is an integer number (2360206080).

Almost surely, 2^205466502960 is an apocalyptic number.

205466502960 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 205466502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377632972800).

205466502960 is an abundant number, since it is smaller than the sum of its proper divisors (549799442640).

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

205466502960 is a wasteful number, since it uses less digits than its factorization.

205466502960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44225 (or 44213 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 205466502960 in words is "two hundred five billion, four hundred sixty-six million, five hundred two thousand, nine hundred sixty".