261282288240000 has 480 divisors, whose sum is σ = 955457448402600. Its totient is φ = 68494328832000.

The previous prime is 261282288239957. The next prime is 261282288240041. The reversal of 261282288240000 is 42882282162.

261282288240000 is a `hidden beast` number, since 2 + 6 + 12 + 8 + 228 + 8 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39404644 + ... + 45555356.

Almost surely, 2^{261282288240000} is an apocalyptic number.

261282288240000 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 261282288240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477728724201300).

261282288240000 is an abundant number, since it is smaller than the sum of its proper divisors (694175160162600).

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

261282288240000 is an equidigital number, since it uses as much as digits as its factorization.

261282288240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150812 (or 6150782 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 261282288240000 in words is "two hundred sixty-one trillion, two hundred eighty-two billion, two hundred eighty-eight million, two hundred forty thousand".