261567180544320 has 168 divisors, whose sum is σ = 1028208131218944. Its totient is φ = 59786784119808.

The previous prime is 261567180544301. The next prime is 261567180544337. The reversal of 261567180544320 is 23445081765162.

261567180544320 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 71 + 8 + 0 + 544 + 3 + 20 = 666.

261567180544320 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 (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6487261104 + ... + 6487301423.

Almost surely, 2^{261567180544320} is an apocalyptic number.

261567180544320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261567180544320 is an abundant number, since it is smaller than the sum of its proper divisors (766640950674624).

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

261567180544320 is a wasteful number, since it uses less digits than its factorization.

261567180544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974562557 (or 12974562544 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 261567180544320 in words is "two hundred sixty-one trillion, five hundred sixty-seven billion, one hundred eighty million, five hundred forty-four thousand, three hundred twenty".