260905017600 has 378 divisors, whose sum is σ = 968245419386. Its totient is φ = 69573427200.

The previous prime is 260905017599. The next prime is 260905017641. The reversal of 260905017600 is 6710509062.

260905017600 is a `hidden beast` number, since 2 + 6 + 0 + 90 + 501 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78364164096 + 182540853504 = 279936^2 + 427248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4637640 + ... + 4693560.

Almost surely, 2^260905017600 is an apocalyptic number.

260905017600 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 260905017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484122709693).

260905017600 is an abundant number, since it is smaller than the sum of its proper divisors (707340401786).

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

260905017600 is an frugal number, since it uses more digits than its factorization.

260905017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55965 (or 55931 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 260905017600 in words is "two hundred sixty billion, nine hundred five million, seventeen thousand, six hundred".