249966984960 has 2016 divisors, whose sum is σ = 1158153292800. Its totient is φ = 51209625600.

The previous prime is 249966984941. The next prime is 249966984961. The reversal of 249966984960 is 69489669942.

249966984960 is a `hidden beast` number, since 2 + 49 + 9 + 6 + 6 + 98 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249966984961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3520661725 + ... + 3520661795.

It is an arithmetic number, because the mean of its divisors is an integer number (574480800).

Almost surely, 2^249966984960 is an apocalyptic number.

249966984960 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 249966984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579076646400).

249966984960 is an abundant number, since it is smaller than the sum of its proper divisors (908186307840).

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

249966984960 is an frugal number, since it uses more digits than its factorization.

249966984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 249966984960 in words is "two hundred forty-nine billion, nine hundred sixty-six million, nine hundred eighty-four thousand, nine hundred sixty".