261428871168 has 396 divisors, whose sum is σ = 825522716460. Its totient is φ = 82556485632.

The previous prime is 261428871161. The next prime is 261428871269. The reversal of 261428871168 is 861178824162.

261428871168 is a `hidden beast` number, since 2 + 614 + 2 + 8 + 8 + 7 + 1 + 16 + 8 = 666.

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

Its product of digits (2064384) is a multiple of the sum of its prime divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261428871161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13759414263 + ... + 13759414281.

Almost surely, 2^261428871168 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 261428871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412761358230).

261428871168 is an abundant number, since it is smaller than the sum of its proper divisors (564093845292).

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

261428871168 is an frugal number, since it uses more digits than its factorization.

261428871168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 24 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 261428871168 in words is "two hundred sixty-one billion, four hundred twenty-eight million, eight hundred seventy-one thousand, one hundred sixty-eight".