260888782137984 has 3072 divisors, whose sum is σ = 1070624378880000. Its totient is φ = 60829152215040.

The previous prime is 260888782137983. The next prime is 260888782138087. The reversal of 260888782137984 is 489731287888062.

260888782137984 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 88 + 78 + 21 + 379 + 84 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (260888782137983) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 355919211282 + ... + 355919212014.

It is an arithmetic number, because the mean of its divisors is an integer number (348510540000).

Almost surely, 2^{260888782137984} is an apocalyptic number.

260888782137984 is a gapful number since it is divisible by the number (24) 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 260888782137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535312189440000).

260888782137984 is an abundant number, since it is smaller than the sum of its proper divisors (809735596742016).

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

260888782137984 is a wasteful number, since it uses less digits than its factorization.

260888782137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 260888782137984 in words is "two hundred sixty trillion, eight hundred eighty-eight billion, seven hundred eighty-two million, one hundred thirty-seven thousand, nine hundred eighty-four".