968905152000 has 1120 divisors, whose sum is σ = 3816521485920. Its totient is φ = 244552089600.

The previous prime is 968905151989. The next prime is 968905152001. The reversal of 968905152000 is 251509869.

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 (968905152001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 886463454 + ... + 886464546.

Almost surely, 2^968905152000 is an apocalyptic number.

968905152000 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 968905152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908260742960).

968905152000 is an abundant number, since it is smaller than the sum of its proper divisors (2847616333920).

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

968905152000 is an equidigital number, since it uses as much as digits as its factorization.

968905152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 968905152000 in words is "nine hundred sixty-eight billion, nine hundred five million, one hundred fifty-two thousand".