10968762000 has 320 divisors, whose sum is σ = 40668825600. Its totient is φ = 2491430400.

The previous prime is 10968761989. The next prime is 10968762019. The reversal of 10968762000 is 26786901.

It is a self number, because there is not a number n which added to its sum of digits gives 10968762000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7517271 + ... + 7518729.

It is an arithmetic number, because the mean of its divisors is an integer number (127090080).

Almost surely, 2^10968762000 is an apocalyptic number.

10968762000 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 10968762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334412800).

10968762000 is an abundant number, since it is smaller than the sum of its proper divisors (29700063600).

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

10968762000 is a wasteful number, since it uses less digits than its factorization.

10968762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10968762000 in words is "ten billion, nine hundred sixty-eight million, seven hundred sixty-two thousand".