249313975680 has 960 divisors, whose sum is σ = 1022488412400. Its totient is φ = 51519283200.

The previous prime is 249313975663. The next prime is 249313975721. The reversal of 249313975680 is 86579313942.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 249313975680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1377425190 + ... + 1377425370.

It is a 2-persistent number, because it is pandigital, and so is 2⋅249313975680 = 498627951360, but 3⋅249313975680 = 747941927040 is not.

Almost surely, 2^249313975680 is an apocalyptic number.

249313975680 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 249313975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511244206200).

249313975680 is an abundant number, since it is smaller than the sum of its proper divisors (773174436720).

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

249313975680 is an equidigital number, since it uses as much as digits as its factorization.

249313975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 249313975680 in words is "two hundred forty-nine billion, three hundred thirteen million, nine hundred seventy-five thousand, six hundred eighty".