261466723200 has 384 divisors, whose sum is σ = 915646394880. Its totient is φ = 65431674880.

The previous prime is 261466723183. The next prime is 261466723207. The reversal of 261466723200 is 2327664162.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261466723207) 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, 11691229 + ... + 11713571.

It is an arithmetic number, because the mean of its divisors is an integer number (2384495820).

Almost surely, 2^261466723200 is an apocalyptic number.

261466723200 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 261466723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457823197440).

261466723200 is an abundant number, since it is smaller than the sum of its proper divisors (654179671680).

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

261466723200 is a wasteful number, since it uses less digits than its factorization.

261466723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446 (or 22429 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 261466723200 in words is "two hundred sixty-one billion, four hundred sixty-six million, seven hundred twenty-three thousand, two hundred".