261129252384 has 576 divisors, whose sum is σ = 1040888983680. Its totient is φ = 62606960640.

The previous prime is 261129252383. The next prime is 261129252389. The reversal of 261129252384 is 483252921162.

261129252384 is a `hidden beast` number, since 2 + 6 + 1 + 12 + 9 + 252 + 384 = 666.

It is not an unprimeable number, because it can be changed into a prime (261129252383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6032482 + ... + 6075614.

It is an arithmetic number, because the mean of its divisors is an integer number (1807098930).

Almost surely, 2^261129252384 is an apocalyptic number.

261129252384 is a gapful number since it is divisible by the number (24) 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 261129252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520444491840).

261129252384 is an abundant number, since it is smaller than the sum of its proper divisors (779759731296).

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

261129252384 is a wasteful number, since it uses less digits than its factorization.

261129252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43190 (or 43169 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 261129252384 in words is "two hundred sixty-one billion, one hundred twenty-nine million, two hundred fifty-two thousand, three hundred eighty-four".