11613543840 has 144 divisors (see below), whose sum is σ = 40189758336. Its totient is φ = 3053299200.

The previous prime is 11613543839. The next prime is 11613543889. The reversal of 11613543840 is 4834531611.

11613543840 is a `hidden beast` number, since 1 + 1 + 613 + 5 + 4 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 11613543795 and 11613543804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45445 + ... + 159035.

It is an arithmetic number, because the mean of its divisors is an integer number (279095544).

Almost surely, 2^11613543840 is an apocalyptic number.

11613543840 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 11613543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20094879168).

11613543840 is an abundant number, since it is smaller than the sum of its proper divisors (28576214496).

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

11613543840 is a wasteful number, since it uses less digits than its factorization.

11613543840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113683 (or 113672 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11613543840 in words is "eleven billion, six hundred thirteen million, five hundred forty-three thousand, eight hundred forty".