261600777318312 has 160 divisors (see below), whose sum is σ = 753336536832000. Its totient is φ = 84772148178816.

The previous prime is 261600777318259. The next prime is 261600777318313. The reversal of 261600777318312 is 213813777006162.

261600777318312 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 0 + 0 + 7 + 7 + 7 + 318 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (261600777318313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24285768 + ... + 33361655.

It is an arithmetic number, because the mean of its divisors is an integer number (4708353355200).

Almost surely, 2^{261600777318312} is an apocalyptic number.

It is an amenable number.

261600777318312 is an abundant number, since it is smaller than the sum of its proper divisors (491735759513688).

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

261600777318312 is a wasteful number, since it uses less digits than its factorization.

261600777318312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57647637 (or 57647624 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 261600777318312 in words is "two hundred sixty-one trillion, six hundred billion, seven hundred seventy-seven million, three hundred eighteen thousand, three hundred twelve".