261223069723840 has 112 divisors (see below), whose sum is σ = 712549347876864. Its totient is φ = 89354394086400.

The previous prime is 261223069723829. The next prime is 261223069723871. The reversal of 261223069723840 is 48327960322162.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134321616 + ... + 136252495.

Almost surely, 2^{261223069723840} is an apocalyptic number.

261223069723840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261223069723840 is an abundant number, since it is smaller than the sum of its proper divisors (451326278153024).

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

261223069723840 is a wasteful number, since it uses less digits than its factorization.

261223069723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270574566 (or 270574556 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 261223069723840 in words is "two hundred sixty-one trillion, two hundred twenty-three billion, sixty-nine million, seven hundred twenty-three thousand, eight hundred forty".