260577574592720 has 240 divisors, whose sum is σ = 761086877738880. Its totient is φ = 81215987973120.

The previous prime is 260577574592711. The next prime is 260577574592749. The reversal of 260577574592720 is 27295475775062.

260577574592720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472712991 + ... + 2472818369.

It is an arithmetic number, because the mean of its divisors is an integer number (3171195323912).

Almost surely, 2^{260577574592720} is an apocalyptic number.

260577574592720 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 260577574592720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380543438869440).

260577574592720 is an abundant number, since it is smaller than the sum of its proper divisors (500509303146160).

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

260577574592720 is a wasteful number, since it uses less digits than its factorization.

260577574592720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141914 (or 141897 counting only the distinct ones).

The product of its (nonzero) digits is 518616000, while the sum is 68.

The spelling of 260577574592720 in words is "two hundred sixty trillion, five hundred seventy-seven billion, five hundred seventy-four million, five hundred ninety-two thousand, seven hundred twenty".