11968613395200 has 4320 divisors, whose sum is σ = 59589492695040. Its totient is φ = 2295027302400.

The previous prime is 11968613395117. The next prime is 11968613395247. The reversal of 11968613395200 is 259331686911.

11968613395200 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 86 + 1 + 3 + 39 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32612025417 + ... + 32612025783.

Almost surely, 2^{11968613395200} is an apocalyptic number.

11968613395200 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 11968613395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794746347520).

11968613395200 is an abundant number, since it is smaller than the sum of its proper divisors (47620879299840).

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

11968613395200 is a wasteful number, since it uses less digits than its factorization.

11968613395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11968613395200 in words is "eleven trillion, nine hundred sixty-eight billion, six hundred thirteen million, three hundred ninety-five thousand, two hundred".