116973351164800 has 768 divisors, whose sum is σ = 321939207072000. Its totient is φ = 41726155161600.

The previous prime is 116973351164797. The next prime is 116973351164819. The reversal of 116973351164800 is 8461153379611.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 90747362556 + ... + 90747363844.

It is an arithmetic number, because the mean of its divisors is an integer number (419191675875).

Almost surely, 2^{116973351164800} is an apocalyptic number.

116973351164800 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 116973351164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160969603536000).

116973351164800 is an abundant number, since it is smaller than the sum of its proper divisors (204965855907200).

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

116973351164800 is a wasteful number, since it uses less digits than its factorization.

116973351164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 116973351164800 in words is "one hundred sixteen trillion, nine hundred seventy-three billion, three hundred fifty-one million, one hundred sixty-four thousand, eight hundred".