10786190859264 has 352 divisors, whose sum is σ = 31232485370880. Its totient is φ = 3300231610368.

The previous prime is 10786190859259. The next prime is 10786190859281. The reversal of 10786190859264 is 46295809168701.

It is a junction number, because it is equal to n+sod(n) for n = 10786190859195 and 10786190859204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190813597 + ... + 190870115.

Almost surely, 2^{10786190859264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10786190859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616242685440).

10786190859264 is an abundant number, since it is smaller than the sum of its proper divisors (20446294511616).

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

10786190859264 is a wasteful number, since it uses less digits than its factorization.

10786190859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56675 (or 56657 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 10786190859264 in words is "ten trillion, seven hundred eighty-six billion, one hundred ninety million, eight hundred fifty-nine thousand, two hundred sixty-four".