11760282240 has 192 divisors, whose sum is σ = 43606395360. Its totient is φ = 2688043008.

The previous prime is 11760282239. The next prime is 11760282241. The reversal of 11760282240 is 4228206711.

It is an interprime number because it is at equal distance from previous prime (11760282239) and next prime (11760282241).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11760282241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31579 + ... + 156581.

Almost surely, 2^11760282240 is an apocalyptic number.

11760282240 is a gapful number since it is divisible by the number (10) 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 11760282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21803197680).

11760282240 is an abundant number, since it is smaller than the sum of its proper divisors (31846113120).

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

11760282240 is a wasteful number, since it uses less digits than its factorization.

11760282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125039 (or 125020 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 11760282240 its reverse (4228206711), we get a palindrome (15988488951).

The spelling of 11760282240 in words is "eleven billion, seven hundred sixty million, two hundred eighty-two thousand, two hundred forty".