261931727623104 has 3024 divisors, whose sum is σ = 1102984872837120. Its totient is φ = 60645155880960.

The previous prime is 261931727623067. The next prime is 261931727623147. The reversal of 261931727623104 is 401326727139162.

261931727623104 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 3 + 1 + 7 + 2 + 7 + 623 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 73104024897 + ... + 73104028479.

It is an arithmetic number, because the mean of its divisors is an integer number (364743674880).

Almost surely, 2^{261931727623104} is an apocalyptic number.

261931727623104 is a gapful number since it is divisible by the number (24) 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 261931727623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551492436418560).

261931727623104 is an abundant number, since it is smaller than the sum of its proper divisors (841053145214016).

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

261931727623104 is a wasteful number, since it uses less digits than its factorization.

261931727623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 261931727623104 in words is "two hundred sixty-one trillion, nine hundred thirty-one billion, seven hundred twenty-seven million, six hundred twenty-three thousand, one hundred four".