249749660160 has 2880 divisors, whose sum is σ = 1261638892800. Its totient is φ = 45086146560.

The previous prime is 249749660113. The next prime is 249749660161. The reversal of 249749660160 is 61066947942.

It is a happy number.

249749660160 is a `hidden beast` number, since 2 + 4 + 97 + 496 + 6 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 249749660097 and 249749660106.

It is not an unprimeable number, because it can be changed into a prime (249749660161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14691156472 + ... + 14691156488.

It is an arithmetic number, because the mean of its divisors is an integer number (438069060).

Almost surely, 2^249749660160 is an apocalyptic number.

249749660160 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 249749660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630819446400).

249749660160 is an abundant number, since it is smaller than the sum of its proper divisors (1011889232640).

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

249749660160 is a wasteful number, since it uses less digits than its factorization.

249749660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

It can be divided in two parts, 249749 and 660160, that added together give a palindrome (909909).

The spelling of 249749660160 in words is "two hundred forty-nine billion, seven hundred forty-nine million, six hundred sixty thousand, one hundred sixty".