11956505223168 has 896 divisors, whose sum is σ = 39376889130240. Its totient is φ = 3555364700160.

The previous prime is 11956505222983. The next prime is 11956505223239. The reversal of 11956505223168 is 86132250565911.

11956505223168 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 6 + 50 + 522 + 3 + 1 + 68 = 666.

11956505223168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43164278646 + ... + 43164278922.

Almost surely, 2^{11956505223168} is an apocalyptic number.

11956505223168 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 11956505223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19688444565120).

11956505223168 is an abundant number, since it is smaller than the sum of its proper divisors (27420383907072).

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

11956505223168 is a wasteful number, since it uses less digits than its factorization.

11956505223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 11956505223168 in words is "eleven trillion, nine hundred fifty-six billion, five hundred five million, two hundred twenty-three thousand, one hundred sixty-eight".