968213088000 has 432 divisors, whose sum is σ = 3612975920736. Its totient is φ = 258188083200.

The previous prime is 968213087987. The next prime is 968213088041. The reversal of 968213088000 is 880312869.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7713744 + ... + 7838256.

Almost surely, 2^968213088000 is an apocalyptic number.

968213088000 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 968213088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806487960368).

968213088000 is an abundant number, since it is smaller than the sum of its proper divisors (2644762832736).

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

968213088000 is an equidigital number, since it uses as much as digits as its factorization.

968213088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124559 (or 124523 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 968213088000 in words is "nine hundred sixty-eight billion, two hundred thirteen million, eighty-eight thousand".