261026107776 has 288 divisors, whose sum is σ = 925164494280. Its totient is φ = 70191636480.

The previous prime is 261026107729. The next prime is 261026107799. The reversal of 261026107776 is 677701620162.

261026107776 is a `hidden beast` number, since 2 + 610 + 26 + 1 + 0 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 823611 + ... + 1095621.

Almost surely, 2^261026107776 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 261026107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462582247140).

261026107776 is an abundant number, since it is smaller than the sum of its proper divisors (664138386504).

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

261026107776 is a wasteful number, since it uses less digits than its factorization.

261026107776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272062 (or 272040 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 261026107776 in words is "two hundred sixty-one billion, twenty-six million, one hundred seven thousand, seven hundred seventy-six".