260747320577040 has 640 divisors, whose sum is σ = 983387373465600. Its totient is φ = 62979014799360.

The previous prime is 260747320576969. The next prime is 260747320577129. The reversal of 260747320577040 is 40775023747062.

260747320577040 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 4 + 7 + 3 + 20 + 577 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7416214981 + ... + 7416250139.

It is an arithmetic number, because the mean of its divisors is an integer number (1536542771040).

Almost surely, 2^{260747320577040} is an apocalyptic number.

260747320577040 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 260747320577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491693686732800).

260747320577040 is an abundant number, since it is smaller than the sum of its proper divisors (722640052888560).

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

260747320577040 is a wasteful number, since it uses less digits than its factorization.

260747320577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36332 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 54.

The spelling of 260747320577040 in words is "two hundred sixty trillion, seven hundred forty-seven billion, three hundred twenty million, five hundred seventy-seven thousand, forty".