11482650240 has 256 divisors, whose sum is σ = 37733472000. Its totient is φ = 2968289280.

The previous prime is 11482650227. The next prime is 11482650251. The reversal of 11482650240 is 4205628411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15664914 + ... + 15665646.

It is an arithmetic number, because the mean of its divisors is an integer number (147396375).

Almost surely, 2^11482650240 is an apocalyptic number.

11482650240 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 11482650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866736000).

11482650240 is an abundant number, since it is smaller than the sum of its proper divisors (26250821760).

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

11482650240 is a wasteful number, since it uses less digits than its factorization.

11482650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 11482650240 in words is "eleven billion, four hundred eighty-two million, six hundred fifty thousand, two hundred forty".