11568638340 has 216 divisors, whose sum is σ = 41339975040. Its totient is φ = 2610631296.

The previous prime is 11568638293. The next prime is 11568638383. The reversal of 11568638340 is 4383686511.

11568638340 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 8 + 638 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688479 + ... + 705081.

Almost surely, 2^11568638340 is an apocalyptic number.

11568638340 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 11568638340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669987520).

11568638340 is an abundant number, since it is smaller than the sum of its proper divisors (29771336700).

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

11568638340 is a wasteful number, since it uses less digits than its factorization.

11568638340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11568638340 in words is "eleven billion, five hundred sixty-eight million, six hundred thirty-eight thousand, three hundred forty".