261885888000 has 480 divisors, whose sum is σ = 1029040021152. Its totient is φ = 63485952000.

The previous prime is 261885887987. The next prime is 261885888041. The reversal of 261885888000 is 888588162.

It is a happy number.

261885888000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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, 6315334 + ... + 6356666.

Almost surely, 2^261885888000 is an apocalyptic number.

261885888000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261885888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514520010576).

261885888000 is an abundant number, since it is smaller than the sum of its proper divisors (767154133152).

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

261885888000 is a wasteful number, since it uses less digits than its factorization.

261885888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41383 (or 41354 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 261885888000 in words is "two hundred sixty-one billion, eight hundred eighty-five million, eight hundred eighty-eight thousand".