249965730560 has 432 divisors, whose sum is σ = 753436730592. Its totient is φ = 78756249600.

The previous prime is 249965730541. The next prime is 249965730569. The reversal of 249965730560 is 65037569942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 249965730496 and 249965730505.

It is not an unprimeable number, because it can be changed into a prime (249965730569) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 229115615 + ... + 229116705.

It is an arithmetic number, because the mean of its divisors is an integer number (1744066506).

Almost surely, 2^249965730560 is an apocalyptic number.

249965730560 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 249965730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376718365296).

249965730560 is an abundant number, since it is smaller than the sum of its proper divisors (503471000032).

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

249965730560 is a wasteful number, since it uses less digits than its factorization.

249965730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 56.

The spelling of 249965730560 in words is "two hundred forty-nine billion, nine hundred sixty-five million, seven hundred thirty thousand, five hundred sixty".