260004499200 has 324 divisors, whose sum is σ = 942682195728. Its totient is φ = 68356915200.

The previous prime is 260004499177. The next prime is 260004499207. The reversal of 260004499200 is 2994400062.

260004499200 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 0 + 449 + 9 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260004499207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4057812 + ... + 4121388.

Almost surely, 2^260004499200 is an apocalyptic number.

260004499200 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 260004499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471341097864).

260004499200 is an abundant number, since it is smaller than the sum of its proper divisors (682677696528).

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

260004499200 is a wasteful number, since it uses less digits than its factorization.

260004499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63680 (or 63658 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 260004499200 its reverse (2994400062), we get a palindrome (262998899262).

The spelling of 260004499200 in words is "two hundred sixty billion, four million, four hundred ninety-nine thousand, two hundred".