259983964800 has 864 divisors, whose sum is σ = 1142725013820. Its totient is φ = 55924162560.

The previous prime is 259983964771. The next prime is 259983964829. The reversal of 259983964800 is 8469389952.

259983964800 is a `hidden beast` number, since 2 + 599 + 8 + 39 + 6 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259983964771) and next prime (259983964829).

It can be written as a sum of positive squares in 6 ways, for example, as 92362503744 + 167621461056 = 303912^2 + 409416^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23984982 + ... + 23995818.

Almost surely, 2^259983964800 is an apocalyptic number.

259983964800 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 259983964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571362506910).

259983964800 is an abundant number, since it is smaller than the sum of its proper divisors (882741049020).

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

259983964800 is a wasteful number, since it uses less digits than its factorization.

259983964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 259983964800 in words is "two hundred fifty-nine billion, nine hundred eighty-three million, nine hundred sixty-four thousand, eight hundred".