260873269949376 has 672 divisors, whose sum is σ = 890240936352768. Its totient is φ = 74197273190400.

The previous prime is 260873269949363. The next prime is 260873269949393. The reversal of 260873269949376 is 673949962378062.

260873269949376 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 7 + 32 + 6 + 99 + 493 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 260873269949295 and 260873269949304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54427969636 + ... + 54427974428.

It is an arithmetic number, because the mean of its divisors is an integer number (1324763298144).

Almost surely, 2^{260873269949376} 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 260873269949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445120468176384).

260873269949376 is an abundant number, since it is smaller than the sum of its proper divisors (629367666403392).

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

260873269949376 is a wasteful number, since it uses less digits than its factorization.

260873269949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 8888527872, while the sum is 81.

The spelling of 260873269949376 in words is "two hundred sixty trillion, eight hundred seventy-three billion, two hundred sixty-nine million, nine hundred forty-nine thousand, three hundred seventy-six".