10687968000 has 864 divisors, whose sum is σ = 42530080320. Its totient is φ = 2565734400.

The previous prime is 10687967999. The next prime is 10687968013. The reversal of 10687968000 is 86978601.

It is a happy number.

It is a super-2 number, since 2×10687968000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181151971 + ... + 181152029.

It is an arithmetic number, because the mean of its divisors is an integer number (49224630).

Almost surely, 2^10687968000 is an apocalyptic number.

10687968000 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 10687968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265040160).

10687968000 is an abundant number, since it is smaller than the sum of its proper divisors (31842112320).

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

10687968000 is a wasteful number, since it uses less digits than its factorization.

10687968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10687968000 in words is "ten billion, six hundred eighty-seven million, nine hundred sixty-eight thousand".