10864578816 has 576 divisors, whose sum is σ = 41316925440. Its totient is φ = 2737152000.

The previous prime is 10864578811. The next prime is 10864578817. The reversal of 10864578816 is 61887546801.

It is a happy number.

10864578816 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 578 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10864578811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466441 + ... + 14467191.

Almost surely, 2^10864578816 is an apocalyptic number.

10864578816 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 10864578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658462720).

10864578816 is an abundant number, since it is smaller than the sum of its proper divisors (30452346624).

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

10864578816 is a wasteful number, since it uses less digits than its factorization.

10864578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10864578816 in words is "ten billion, eight hundred sixty-four million, five hundred seventy-eight thousand, eight hundred sixteen".