11775089663064 has 384 divisors, whose sum is σ = 39538468569600. Its totient is φ = 3082779095040.

The previous prime is 11775089663003. The next prime is 11775089663143. The reversal of 11775089663064 is 46036698057711.

11775089663064 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 508 + 9 + 6 + 63 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11775089662992 and 11775089663010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695466679 + ... + 695483609.

It is an arithmetic number, because the mean of its divisors is an integer number (102964761900).

Almost surely, 2^{11775089663064} is an apocalyptic number.

11775089663064 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 11775089663064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769234284800).

11775089663064 is an abundant number, since it is smaller than the sum of its proper divisors (27763378906536).

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

11775089663064 is a wasteful number, since it uses less digits than its factorization.

11775089663064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17735 (or 17728 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 11775089663064 in words is "eleven trillion, seven hundred seventy-five billion, eighty-nine million, six hundred sixty-three thousand, sixty-four".