260456752800 has 288 divisors, whose sum is σ = 945670723200. Its totient is φ = 69183406080.

The previous prime is 260456752781. The next prime is 260456752819. The reversal of 260456752800 is 8257654062.

260456752800 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 567 + 5 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260456752781) and next prime (260456752819).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 5527741 + ... + 5574659.

It is an arithmetic number, because the mean of its divisors is an integer number (3283578900).

Almost surely, 2^260456752800 is an apocalyptic number.

260456752800 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 260456752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472835361600).

260456752800 is an abundant number, since it is smaller than the sum of its proper divisors (685213970400).

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

260456752800 is a wasteful number, since it uses less digits than its factorization.

260456752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47205 (or 47186 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 260456752800 in words is "two hundred sixty billion, four hundred fifty-six million, seven hundred fifty-two thousand, eight hundred".