260463512687616 has 528 divisors, whose sum is σ = 928246038494400. Its totient is φ = 71851992662016.

The previous prime is 260463512687569. The next prime is 260463512687639. The reversal of 260463512687616 is 616786215364062.

260463512687616 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 6 + 3 + 5 + 1 + 2 + 6 + 8 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 35972995 + ... + 42602621.

Almost surely, 2^{260463512687616} 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 260463512687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464123019247200).

260463512687616 is an abundant number, since it is smaller than the sum of its proper divisors (667782525806784).

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

260463512687616 is a wasteful number, since it uses less digits than its factorization.

260463512687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629699 (or 6629668 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 260463512687616 in words is "two hundred sixty trillion, four hundred sixty-three billion, five hundred twelve million, six hundred eighty-seven thousand, six hundred sixteen".