249425616000 has 1536 divisors, whose sum is σ = 1013683507200. Its totient is φ = 53627904000.

The previous prime is 249425615993. The next prime is 249425616043. The reversal of 249425616000 is 616524942.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 249425616000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5306927977 + ... + 5306928023.

It is an arithmetic number, because the mean of its divisors is an integer number (659950200).

Almost surely, 2^249425616000 is an apocalyptic number.

249425616000 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 249425616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506841753600).

249425616000 is an abundant number, since it is smaller than the sum of its proper divisors (764257891200).

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

249425616000 is a wasteful number, since it uses less digits than its factorization.

249425616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 249425616000 in words is "two hundred forty-nine billion, four hundred twenty-five million, six hundred sixteen thousand".