260263578697200 has 1200 divisors, whose sum is σ = 1033896559607296. Its totient is φ = 62285536051200.

The previous prime is 260263578697153. The next prime is 260263578697231. The reversal of 260263578697200 is 2796875362062.

It is a happy number.

260263578697200 is a `hidden beast` number, since 2 + 6 + 0 + 263 + 5 + 7 + 86 + 97 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22924646724 + ... + 22924658076.

Almost surely, 2^{260263578697200} is an apocalyptic number.

260263578697200 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 260263578697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516948279803648).

260263578697200 is an abundant number, since it is smaller than the sum of its proper divisors (773632980910096).

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

260263578697200 is a wasteful number, since it uses less digits than its factorization.

260263578697200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 260263578697200 in words is "two hundred sixty trillion, two hundred sixty-three billion, five hundred seventy-eight million, six hundred ninety-seven thousand, two hundred".