10907068020000 has 480 divisors, whose sum is σ = 36360859550400. Its totient is φ = 2861236224000.

The previous prime is 10907068019983. The next prime is 10907068020103. The reversal of 10907068020000 is 2086070901.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4056178656 + ... + 4056181344.

It is an arithmetic number, because the mean of its divisors is an integer number (75751790730).

Almost surely, 2^{10907068020000} is an apocalyptic number.

10907068020000 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 10907068020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180429775200).

10907068020000 is an abundant number, since it is smaller than the sum of its proper divisors (25453791530400).

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

10907068020000 is a wasteful number, since it uses less digits than its factorization.

10907068020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 10907068020000 in words is "ten trillion, nine hundred seven billion, sixty-eight million, twenty thousand".