11962169856 has 640 divisors, whose sum is σ = 44932124160. Its totient is φ = 3057647616.

The previous prime is 11962169851. The next prime is 11962169873. The reversal of 11962169856 is 65896126911.

11962169856 is a `hidden beast` number, since 1 + 1 + 9 + 621 + 6 + 9 + 8 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11962169851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46545280 + ... + 46545536.

It is an arithmetic number, because the mean of its divisors is an integer number (70206444).

Almost surely, 2^11962169856 is an apocalyptic number.

11962169856 is a gapful number since it is divisible by the number (16) 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 11962169856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22466062080).

11962169856 is an abundant number, since it is smaller than the sum of its proper divisors (32969954304).

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

11962169856 is a wasteful number, since it uses less digits than its factorization.

11962169856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 11962169856 in words is "eleven billion, nine hundred sixty-two million, one hundred sixty-nine thousand, eight hundred fifty-six".