261675363950 has 288 divisors, whose sum is σ = 681423448608. Its totient is φ = 73446912000.

The previous prime is 261675363947. The next prime is 261675363959. The reversal of 261675363950 is 59363576162.

261675363950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 261675363892 and 261675363901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261675363959) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14355242 + ... + 14373458.

It is an arithmetic number, because the mean of its divisors is an integer number (2366053641).

Almost surely, 2^261675363950 is an apocalyptic number.

261675363950 is an abundant number, since it is smaller than the sum of its proper divisors (419748084658).

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

261675363950 is a wasteful number, since it uses less digits than its factorization.

261675363950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 53.

The spelling of 261675363950 in words is "two hundred sixty-one billion, six hundred seventy-five million, three hundred sixty-three thousand, nine hundred fifty".