11785036655808 has 448 divisors, whose sum is σ = 38760140554240. Its totient is φ = 3486808166400.

The previous prime is 11785036655801. The next prime is 11785036655893. The reversal of 11785036655808 is 80855663058711.

11785036655808 is a `hidden beast` number, since 1 + 1 + 78 + 5 + 0 + 3 + 6 + 6 + 558 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11785036655801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109278393 + ... + 109386183.

It is an arithmetic number, because the mean of its divisors is an integer number (86518170880).

Almost surely, 2^{11785036655808} is an apocalyptic number.

11785036655808 is a gapful number since it is divisible by the number (18) 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 11785036655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380070277120).

11785036655808 is an abundant number, since it is smaller than the sum of its proper divisors (26975103898432).

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

11785036655808 is a wasteful number, since it uses less digits than its factorization.

11785036655808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108013 (or 107997 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 11785036655808 in words is "eleven trillion, seven hundred eighty-five billion, thirty-six million, six hundred fifty-five thousand, eight hundred eight".