261723136200 has 192 divisors, whose sum is σ = 863571870720. Its totient is φ = 65342976000.

The previous prime is 261723136177. The next prime is 261723136201. The reversal of 261723136200 is 2631327162.

It is not an unprimeable number, because it can be changed into a prime (261723136201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1881030 + ... + 2015370.

It is an arithmetic number, because the mean of its divisors is an integer number (4497770160).

Almost surely, 2^261723136200 is an apocalyptic number.

261723136200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261723136200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431785935360).

261723136200 is an abundant number, since it is smaller than the sum of its proper divisors (601848734520).

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

261723136200 is a wasteful number, since it uses less digits than its factorization.

261723136200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134568 (or 134559 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 261723136200 in words is "two hundred sixty-one billion, seven hundred twenty-three million, one hundred thirty-six thousand, two hundred".