11513241542160 has 960 divisors, whose sum is σ = 42999135379200. Its totient is φ = 2747518943232.

The previous prime is 11513241542137. The next prime is 11513241542219. The reversal of 11513241542160 is 6124514231511.

11513241542160 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 2 + 41 + 542 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17470775911 + ... + 17470776569.

It is an arithmetic number, because the mean of its divisors is an integer number (44790766020).

Almost surely, 2^{11513241542160} is an apocalyptic number.

11513241542160 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 11513241542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21499567689600).

11513241542160 is an abundant number, since it is smaller than the sum of its proper divisors (31485893837040).

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

11513241542160 is a wasteful number, since it uses less digits than its factorization.

11513241542160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 11513241542160 its reverse (6124514231511), we get a palindrome (17637755773671).

The spelling of 11513241542160 in words is "eleven trillion, five hundred thirteen billion, two hundred forty-one million, five hundred forty-two thousand, one hundred sixty".