11786552064 has 216 divisors, whose sum is σ = 41123890080. Its totient is φ = 3169419264.

The previous prime is 11786552021. The next prime is 11786552143. The reversal of 11786552064 is 46025568711.

11786552064 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 65 + 520 + 64 = 666.

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, 252682 + ... + 295670.

It is an arithmetic number, because the mean of its divisors is an integer number (190388380).

Almost surely, 2^11786552064 is an apocalyptic number.

11786552064 is a gapful number since it is divisible by the number (14) 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 11786552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561945040).

11786552064 is an abundant number, since it is smaller than the sum of its proper divisors (29337338016).

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

11786552064 is a wasteful number, since it uses less digits than its factorization.

11786552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43035 (or 43018 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 11786552064 in words is "eleven billion, seven hundred eighty-six million, five hundred fifty-two thousand, sixty-four".