249624970056 has 768 divisors, whose sum is σ = 918687744000. Its totient is φ = 60489676800.

The previous prime is 249624970037. The next prime is 249624970181. The reversal of 249624970056 is 650079426942.

249624970056 is a `hidden beast` number, since 2 + 4 + 9 + 624 + 9 + 7 + 0 + 0 + 5 + 6 = 666.

249624970056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249624969984 and 249624970011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 882066891 + ... + 882067173.

It is an arithmetic number, because the mean of its divisors is an integer number (1196208000).

Almost surely, 2^249624970056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249624970056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459343872000).

249624970056 is an abundant number, since it is smaller than the sum of its proper divisors (669062773944).

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

249624970056 is a wasteful number, since it uses less digits than its factorization.

249624970056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 249624970056 in words is "two hundred forty-nine billion, six hundred twenty-four million, nine hundred seventy thousand, fifty-six".