11515135045340 has 96 divisors (see below), whose sum is σ = 25697173017600. Its totient is φ = 4319393936384.

The previous prime is 11515135045333. The next prime is 11515135045343. The reversal of 11515135045340 is 4354053151511.

11515135045340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11515135045340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11515135045294 and 11515135045303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515135045343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161242961 + ... + 161314359.

It is an arithmetic number, because the mean of its divisors is an integer number (267678885600).

Almost surely, 2^{11515135045340} is an apocalyptic number.

11515135045340 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 11515135045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12848586508800).

11515135045340 is an abundant number, since it is smaller than the sum of its proper divisors (14182037972260).

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

11515135045340 is a wasteful number, since it uses less digits than its factorization.

11515135045340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73139 (or 73137 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

Adding to 11515135045340 its reverse (4354053151511), we get a palindrome (15869188196851).

The spelling of 11515135045340 in words is "eleven trillion, five hundred fifteen billion, one hundred thirty-five million, forty-five thousand, three hundred forty".