11546802240 has 224 divisors, whose sum is σ = 38886725376. Its totient is φ = 2896650240.

The previous prime is 11546802209. The next prime is 11546802257. The reversal of 11546802240 is 4220864511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342594 + ... + 1351166.

Almost surely, 2^11546802240 is an apocalyptic number.

11546802240 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 11546802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443362688).

11546802240 is an abundant number, since it is smaller than the sum of its proper divisors (27339923136).

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

11546802240 is a wasteful number, since it uses less digits than its factorization.

11546802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8667 counting only the distinct ones).

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

The spelling of 11546802240 in words is "eleven billion, five hundred forty-six million, eight hundred two thousand, two hundred forty".