11506278720 has 224 divisors, whose sum is σ = 37303862400. Its totient is φ = 3004047360.

The previous prime is 11506278713. The next prime is 11506278731. The reversal of 11506278720 is 2787260511.

It is a congruent 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, 20437159 + ... + 20437721.

It is an arithmetic number, because the mean of its divisors is an integer number (166535100).

Almost surely, 2^11506278720 is an apocalyptic number.

11506278720 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 11506278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651931200).

11506278720 is an abundant number, since it is smaller than the sum of its proper divisors (25797583680).

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

11506278720 is a wasteful number, since it uses less digits than its factorization.

11506278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 11506278720 in words is "eleven billion, five hundred six million, two hundred seventy-eight thousand, seven hundred twenty".