10878666706656 has 384 divisors, whose sum is σ = 37310694220800. Its totient is φ = 3019120957440.

The previous prime is 10878666706639. The next prime is 10878666706697. The reversal of 10878666706656 is 65660766687801.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 46956030 + ... + 47187138.

It is an arithmetic number, because the mean of its divisors is an integer number (97163266200).

Almost surely, 2^{10878666706656} is an apocalyptic number.

10878666706656 is a gapful number since it is divisible by the number (16) 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 10878666706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655347110400).

10878666706656 is an abundant number, since it is smaller than the sum of its proper divisors (26432027514144).

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

10878666706656 is a wasteful number, since it uses less digits than its factorization.

10878666706656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231359 (or 231345 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 10878666706656 in words is "ten trillion, eight hundred seventy-eight billion, six hundred sixty-six million, seven hundred six thousand, six hundred fifty-six".