260797960648512 has 336 divisors, whose sum is σ = 906304151555712. Its totient is φ = 69996441600000.

The previous prime is 260797960648501. The next prime is 260797960648531. The reversal of 260797960648512 is 215846069797062.

260797960648512 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 9 + 7 + 9 + 60 + 6 + 48 + 512 = 666.

260797960648512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 32211012 + ... + 39486012.

It is an arithmetic number, because the mean of its divisors is an integer number (2697333784392).

Almost surely, 2^{260797960648512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260797960648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453152075777856).

260797960648512 is an abundant number, since it is smaller than the sum of its proper divisors (645506190907200).

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

260797960648512 is a wasteful number, since it uses less digits than its factorization.

260797960648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7275566 (or 7275553 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 260797960648512 in words is "two hundred sixty trillion, seven hundred ninety-seven billion, nine hundred sixty million, six hundred forty-eight thousand, five hundred twelve".