261882558000 has 960 divisors, whose sum is σ = 1106879155200. Its totient is φ = 59820768000.

The previous prime is 261882557999. The next prime is 261882558017. The reversal of 261882558000 is 855288162.

261882558000 is a `hidden beast` number, since 2 + 6 + 18 + 82 + 558 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166697215 + ... + 166698785.

It is an arithmetic number, because the mean of its divisors is an integer number (1152999120).

Almost surely, 2^261882558000 is an apocalyptic number.

261882558000 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 261882558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553439577600).

261882558000 is an abundant number, since it is smaller than the sum of its proper divisors (844996597200).

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

261882558000 is an equidigital number, since it uses as much as digits as its factorization.

261882558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 261882558000 in words is "two hundred sixty-one billion, eight hundred eighty-two million, five hundred fifty-eight thousand".