261418584800 has 72 divisors (see below), whose sum is σ = 640366810776. Its totient is φ = 104210455040.

The previous prime is 261418584793. The next prime is 261418584827. The reversal of 261418584800 is 8485814162.

It is a happy number.

261418584800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 323234 + ... + 792033.

It is an arithmetic number, because the mean of its divisors is an integer number (8893983483).

Almost surely, 2^261418584800 is an apocalyptic number.

261418584800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261418584800 is an abundant number, since it is smaller than the sum of its proper divisors (378948225976).

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

261418584800 is a wasteful number, since it uses less digits than its factorization.

261418584800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115580 (or 1115567 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The spelling of 261418584800 in words is "two hundred sixty-one billion, four hundred eighteen million, five hundred eighty-four thousand, eight hundred".