261609862708704 has 192 divisors, whose sum is σ = 710909567101440. Its totient is φ = 84136633190400.

The previous prime is 261609862708643. The next prime is 261609862708721. The reversal of 261609862708704 is 407807268906162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33002375589 + ... + 33002383515.

It is an arithmetic number, because the mean of its divisors is an integer number (3702653995320).

Almost surely, 2^{261609862708704} is an apocalyptic number.

261609862708704 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 261609862708704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355454783550720).

261609862708704 is an abundant number, since it is smaller than the sum of its proper divisors (449299704392736).

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

261609862708704 is a wasteful number, since it uses less digits than its factorization.

261609862708704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14865 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 261609862708704 in words is "two hundred sixty-one trillion, six hundred nine billion, eight hundred sixty-two million, seven hundred eight thousand, seven hundred four".