249991080000 has 280 divisors, whose sum is σ = 828505043520. Its totient is φ = 66504960000.

The previous prime is 249991079981. The next prime is 249991080037. The reversal of 249991080000 is 80199942.

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 39 ways as a sum of consecutive naturals, for example, 55317741 + ... + 55322259.

It is an arithmetic number, because the mean of its divisors is an integer number (2958946584).

Almost surely, 2^249991080000 is an apocalyptic number.

249991080000 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 249991080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414252521760).

249991080000 is an abundant number, since it is smaller than the sum of its proper divisors (578513963520).

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

249991080000 is an equidigital number, since it uses as much as digits as its factorization.

249991080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 249991080000 in words is "two hundred forty-nine billion, nine hundred ninety-one million, eighty thousand".