11827265940864 has 384 divisors, whose sum is σ = 37278092592000. Its totient is φ = 3569583513600.

The previous prime is 11827265940851. The next prime is 11827265940871. The reversal of 11827265940864 is 46804956272811.

It is a happy number.

11827265940864 is a `hidden beast` number, since 1 + 18 + 2 + 7 + 26 + 594 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3879062412 + ... + 3879065460.

It is an arithmetic number, because the mean of its divisors is an integer number (97078366125).

Almost surely, 2^{11827265940864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11827265940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639046296000).

11827265940864 is an abundant number, since it is smaller than the sum of its proper divisors (25450826651136).

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

11827265940864 is a wasteful number, since it uses less digits than its factorization.

11827265940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11827265940864 in words is "eleven trillion, eight hundred twenty-seven billion, two hundred sixty-five million, nine hundred forty thousand, eight hundred sixty-four".