260925235200 has 1512 divisors, whose sum is σ = 1138033692432. Its totient is φ = 59082670080.

The previous prime is 260925235183. The next prime is 260925235247. The reversal of 260925235200 is 2532529062.

It is a happy number.

260925235200 is a `hidden beast` number, since 2 + 609 + 2 + 5 + 23 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2438553547 + ... + 2438553653.

It is an arithmetic number, because the mean of its divisors is an integer number (752667786).

Almost surely, 2^260925235200 is an apocalyptic number.

260925235200 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 260925235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569016846216).

260925235200 is an abundant number, since it is smaller than the sum of its proper divisors (877108457232).

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

260925235200 is an equidigital number, since it uses as much as digits as its factorization.

260925235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 260925235200 in words is "two hundred sixty billion, nine hundred twenty-five million, two hundred thirty-five thousand, two hundred".