261278589600 has 1440 divisors, whose sum is σ = 1191289752576. Its totient is φ = 54344908800.

The previous prime is 261278589599. The next prime is 261278589613. The reversal of 261278589600 is 6985872162.

261278589600 is a `hidden beast` number, since 2 + 6 + 1 + 27 + 8 + 5 + 8 + 9 + 600 = 666.

261278589600 is digitally balanced in base 2, 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 (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 239046654 + ... + 239047746.

Almost surely, 2^261278589600 is an apocalyptic number.

261278589600 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 261278589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595644876288).

261278589600 is an abundant number, since it is smaller than the sum of its proper divisors (930011162976).

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

261278589600 is a wasteful number, since it uses less digits than its factorization.

261278589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 261278589600 in words is "two hundred sixty-one billion, two hundred seventy-eight million, five hundred eighty-nine thousand, six hundred".