260497944000 has 1008 divisors, whose sum is σ = 1107428986560. Its totient is φ = 59458406400.

The previous prime is 260497943969. The next prime is 260497944013. The reversal of 260497944000 is 449794062.

260497944000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367415646 + ... + 367416354.

Almost surely, 2^260497944000 is an apocalyptic number.

260497944000 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 260497944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553714493280).

260497944000 is an abundant number, since it is smaller than the sum of its proper divisors (846931042560).

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

260497944000 is an frugal number, since it uses more digits than its factorization.

260497944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 260497944000 in words is "two hundred sixty billion, four hundred ninety-seven million, nine hundred forty-four thousand".