260793243984 has 160 divisors (see below), whose sum is σ = 829610901504. Its totient is φ = 68745623040.

The previous prime is 260793243979. The next prime is 260793244001. The reversal of 260793243984 is 489342397062.

260793243984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260793243984² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9206707 + ... + 9234989.

Almost surely, 2^260793243984 is an apocalyptic number.

260793243984 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 260793243984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414805450752).

260793243984 is an abundant number, since it is smaller than the sum of its proper divisors (568817657520).

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

260793243984 is a wasteful number, since it uses less digits than its factorization.

260793243984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30425 (or 30419 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 260793243984 in words is "two hundred sixty billion, seven hundred ninety-three million, two hundred forty-three thousand, nine hundred eighty-four".