261747507200 has 324 divisors, whose sum is σ = 683075452248. Its totient is φ = 99483648000.

The previous prime is 261747507167. The next prime is 261747507251. The reversal of 261747507200 is 2705747162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1733427125 + ... + 1733427275.

Almost surely, 2^261747507200 is an apocalyptic number.

261747507200 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 261747507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341537726124).

261747507200 is an abundant number, since it is smaller than the sum of its proper divisors (421327945048).

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

261747507200 is an frugal number, since it uses more digits than its factorization.

261747507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 261747507200 in words is "two hundred sixty-one billion, seven hundred forty-seven million, five hundred seven thousand, two hundred".