260448955200 has 1680 divisors, whose sum is σ = 1157450283520. Its totient is φ = 57610828800.

The previous prime is 260448955171. The next prime is 260448955279. The reversal of 260448955200 is 2559844062.

260448955200 is a `hidden beast` number, since 2 + 6 + 0 + 44 + 89 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8401579185 + ... + 8401579215.

Almost surely, 2^260448955200 is an apocalyptic number.

260448955200 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 260448955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578725141760).

260448955200 is an abundant number, since it is smaller than the sum of its proper divisors (897001328320).

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

260448955200 is an frugal number, since it uses more digits than its factorization.

260448955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 260448955200 in words is "two hundred sixty billion, four hundred forty-eight million, nine hundred fifty-five thousand, two hundred".