11936344563360 has 864 divisors, whose sum is σ = 49331173469760. Its totient is φ = 2717579870208.

The previous prime is 11936344563293. The next prime is 11936344563383. The reversal of 11936344563360 is 6336544363911.

11936344563360 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 6 + 3 + 44 + 563 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 11936344563297 and 11936344563306.

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 143 ways as a sum of consecutive naturals, for example, 489603651 + ... + 489628029.

It is an arithmetic number, because the mean of its divisors is an integer number (57096265590).

Almost surely, 2^{11936344563360} is an apocalyptic number.

11936344563360 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 11936344563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24665586734880).

11936344563360 is an abundant number, since it is smaller than the sum of its proper divisors (37394828906400).

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

11936344563360 is a wasteful number, since it uses less digits than its factorization.

11936344563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24680 (or 24653 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 11936344563360 in words is "eleven trillion, nine hundred thirty-six billion, three hundred forty-four million, five hundred sixty-three thousand, three hundred sixty".