261304416000 has 1296 divisors, whose sum is σ = 1068101929440. Its totient is φ = 60958310400.

The previous prime is 261304415951. The next prime is 261304416047. The reversal of 261304416000 is 614403162.

261304416000 is a `hidden beast` number, since 2 + 6 + 13 + 0 + 4 + 41 + 600 + 0 = 666.

It is a super-2 number, since 2×261304416000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4930271974 + ... + 4930272026.

Almost surely, 2^261304416000 is an apocalyptic number.

261304416000 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 261304416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534050964720).

261304416000 is an abundant number, since it is smaller than the sum of its proper divisors (806797513440).

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

261304416000 is a wasteful number, since it uses less digits than its factorization.

261304416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 261304416000 its reverse (614403162), we get a palindrome (261918819162).

The spelling of 261304416000 in words is "two hundred sixty-one billion, three hundred four million, four hundred sixteen thousand".