10786908000 has 1152 divisors, whose sum is σ = 45174205440. Its totient is φ = 2230272000.

The previous prime is 10786907993. The next prime is 10786908043. The reversal of 10786908000 is 80968701.

It is a self number, because there is not a number n which added to its sum of digits gives 10786908000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 468995989 + ... + 468996011.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^10786908000 is an apocalyptic number.

10786908000 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 10786908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

10786908000 is an abundant number, since it is smaller than the sum of its proper divisors (34387297440).

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

10786908000 is a wasteful number, since it uses less digits than its factorization.

10786908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10786908000 in words is "ten billion, seven hundred eighty-six million, nine hundred eight thousand".