10786517010 has 128 divisors (see below), whose sum is σ = 29322777600. Its totient is φ = 2821029120.

The previous prime is 10786517009. The next prime is 10786517041. The reversal of 10786517010 is 1071568701.

It is a happy number.

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, 3347200 + ... + 3350420.

It is an arithmetic number, because the mean of its divisors is an integer number (229084200).

Almost surely, 2^10786517010 is an apocalyptic number.

10786517010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10786517010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661388800).

10786517010 is an abundant number, since it is smaller than the sum of its proper divisors (18536260590).

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

10786517010 is a wasteful number, since it uses less digits than its factorization.

10786517010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 10786517010 in words is "ten billion, seven hundred eighty-six million, five hundred seventeen thousand, ten".