261049923360 has 288 divisors, whose sum is σ = 924733817280. Its totient is φ = 69544977408.

The previous prime is 261049923359. The next prime is 261049923389. The reversal of 261049923360 is 63329940162.

261049923360 is a `hidden beast` number, since 2 + 610 + 4 + 9 + 9 + 23 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48947254 + ... + 48952586.

It is an arithmetic number, because the mean of its divisors is an integer number (3210881310).

Almost surely, 2^261049923360 is an apocalyptic number.

261049923360 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 261049923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462366908640).

261049923360 is an abundant number, since it is smaller than the sum of its proper divisors (663683893920).

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

261049923360 is a wasteful number, since it uses less digits than its factorization.

261049923360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 261049923360 in words is "two hundred sixty-one billion, forty-nine million, nine hundred twenty-three thousand, three hundred sixty".