260291168640 has 192 divisors, whose sum is σ = 899253154800. Its totient is φ = 69377372160.

The previous prime is 260291168623. The next prime is 260291168677. The reversal of 260291168640 is 46861192062.

260291168640 is a `hidden beast` number, since 260 + 291 + 1 + 68 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290055 + ... + 13309625.

Almost surely, 2^260291168640 is an apocalyptic number.

260291168640 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 260291168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449626577400).

260291168640 is an abundant number, since it is smaller than the sum of its proper divisors (638961986160).

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

260291168640 is a wasteful number, since it uses less digits than its factorization.

260291168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21890 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 260291168640 in words is "two hundred sixty billion, two hundred ninety-one million, one hundred sixty-eight thousand, six hundred forty".