11568965940 has 480 divisors, whose sum is σ = 43401093120. Its totient is φ = 2523902976.

The previous prime is 11568965921. The next prime is 11568965957. The reversal of 11568965940 is 4956986511.

11568965940 is a `hidden beast` number, since 11 + 568 + 9 + 65 + 9 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41765082 + ... + 41765358.

It is an arithmetic number, because the mean of its divisors is an integer number (90418944).

Almost surely, 2^11568965940 is an apocalyptic number.

11568965940 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 11568965940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700546560).

11568965940 is an abundant number, since it is smaller than the sum of its proper divisors (31832127180).

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

11568965940 is a wasteful number, since it uses less digits than its factorization.

11568965940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11568965940 in words is "eleven billion, five hundred sixty-eight million, nine hundred sixty-five thousand, nine hundred forty".