11515030426240 has 512 divisors, whose sum is σ = 32704432992000. Its totient is φ = 3831644160000.

The previous prime is 11515030426169. The next prime is 11515030426247. The reversal of 11515030426240 is 4262403051511.

It is a junction number, because it is equal to n+sod(n) for n = 11515030426196 and 11515030426205.

It is not an unprimeable number, because it can be changed into a prime (11515030426247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553889766 + ... + 553910554.

Almost surely, 2^{11515030426240} is an apocalyptic number.

11515030426240 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 11515030426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352216496000).

11515030426240 is an abundant number, since it is smaller than the sum of its proper divisors (21189402565760).

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

11515030426240 is a wasteful number, since it uses less digits than its factorization.

11515030426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20980 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 11515030426240 its reverse (4262403051511), we get a palindrome (15777433477751).

The spelling of 11515030426240 in words is "eleven trillion, five hundred fifteen billion, thirty million, four hundred twenty-six thousand, two hundred forty".