968059123200 has 1440 divisors, whose sum is σ = 3927109586400. Its totient is φ = 234738155520.

The previous prime is 968059123159. The next prime is 968059123201. The reversal of 968059123200 is 2321950869.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968059123201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3598732666 + ... + 3598732934.

It is an arithmetic number, because the mean of its divisors is an integer number (2727159435).

Almost surely, 2^968059123200 is an apocalyptic number.

968059123200 is a gapful number since it is divisible by the number (90) 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 968059123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963554793200).

968059123200 is an abundant number, since it is smaller than the sum of its proper divisors (2959050463200).

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

968059123200 is a wasteful number, since it uses less digits than its factorization.

968059123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 968059123200 in words is "nine hundred sixty-eight billion, fifty-nine million, one hundred twenty-three thousand, two hundred".