261646772616110 has 384 divisors, whose sum is σ = 579527612928000. Its totient is φ = 84709705651200.

The previous prime is 261646772616077. The next prime is 261646772616157. The reversal of 261646772616110 is 11616277646162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39649454591 + ... + 39649461189.

It is an arithmetic number, because the mean of its divisors is an integer number (1509186492000).

Almost surely, 2^{261646772616110} is an apocalyptic number.

261646772616110 is an abundant number, since it is smaller than the sum of its proper divisors (317880840311890).

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

261646772616110 is a wasteful number, since it uses less digits than its factorization.

261646772616110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 56.

The spelling of 261646772616110 in words is "two hundred sixty-one trillion, six hundred forty-six billion, seven hundred seventy-two million, six hundred sixteen thousand, one hundred ten".