260911781856 has 192 divisors, whose sum is σ = 830490796800. Its totient is φ = 79033996800.

The previous prime is 260911781849. The next prime is 260911781863. The reversal of 260911781856 is 658187119062.

It is a happy number.

260911781856 is a `hidden beast` number, since 2 + 609 + 1 + 17 + 8 + 18 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (260911781849) and next prime (260911781863).

It is a super-4 number, since 4×260911781856⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49142530 + ... + 49147838.

It is an arithmetic number, because the mean of its divisors is an integer number (4325472900).

Almost surely, 2^260911781856 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 260911781856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415245398400).

260911781856 is an abundant number, since it is smaller than the sum of its proper divisors (569579014944).

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

260911781856 is a wasteful number, since it uses less digits than its factorization.

260911781856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 260911781856 in words is "two hundred sixty billion, nine hundred eleven million, seven hundred eighty-one thousand, eight hundred fifty-six".