11510000010240 has 352 divisors, whose sum is σ = 37251744614784. Its totient is φ = 3032937922560.

The previous prime is 11510000010217. The next prime is 11510000010253. The reversal of 11510000010240 is 4201000001511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008670135 + ... + 1008681545.

Almost surely, 2^{11510000010240} is an apocalyptic number.

11510000010240 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 11510000010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625872307392).

11510000010240 is an abundant number, since it is smaller than the sum of its proper divisors (25741744604544).

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

11510000010240 is a wasteful number, since it uses less digits than its factorization.

11510000010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11510000010240 its reverse (4201000001511), we get a palindrome (15711000011751).

The spelling of 11510000010240 in words is "eleven trillion, five hundred ten billion, ten thousand, two hundred forty".