261636331346200 has 72 divisors (see below), whose sum is σ = 614386923556140. Its totient is φ = 103618348240000.

The previous prime is 261636331346189. The next prime is 261636331346207. The reversal of 261636331346200 is 2643133636162.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261636331346207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62080066 + ... + 66160465.

Almost surely, 2^{261636331346200} is an apocalyptic number.

261636331346200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261636331346200 is an abundant number, since it is smaller than the sum of its proper divisors (352750592209940).

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

261636331346200 is a wasteful number, since it uses less digits than its factorization.

261636331346200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128240749 (or 128240639 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 46.

The spelling of 261636331346200 in words is "two hundred sixty-one trillion, six hundred thirty-six billion, three hundred thirty-one million, three hundred forty-six thousand, two hundred".