261385378300 has 36 divisors (see below), whose sum is σ = 567378919800. Its totient is φ = 104522326720.

The previous prime is 261385378283. The next prime is 261385378337. The reversal of 261385378300 is 3873583162.

It is a super-3 number, since 3×261385378300³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66259 + ... + 726058.

It is an arithmetic number, because the mean of its divisors is an integer number (15760525550).

Almost surely, 2^261385378300 is an apocalyptic number.

261385378300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261385378300 is an abundant number, since it is smaller than the sum of its proper divisors (305993541500).

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

261385378300 is a wasteful number, since it uses less digits than its factorization.

261385378300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795630 (or 795623 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 261385378300 in words is "two hundred sixty-one billion, three hundred eighty-five million, three hundred seventy-eight thousand, three hundred".