10786086000 has 240 divisors, whose sum is σ = 38973130560. Its totient is φ = 2776972800.

The previous prime is 10786085951. The next prime is 10786086007. The reversal of 10786086000 is 68068701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10786086007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511669 + ... + 532331.

It is an arithmetic number, because the mean of its divisors is an integer number (162388044).

Almost surely, 2^10786086000 is an apocalyptic number.

10786086000 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 10786086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486565280).

10786086000 is an abundant number, since it is smaller than the sum of its proper divisors (28187044560).

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

10786086000 is a wasteful number, since it uses less digits than its factorization.

10786086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10786086000 in words is "ten billion, seven hundred eighty-six million, eighty-six thousand".