10864263168 has 384 divisors, whose sum is σ = 36436411440. Its totient is φ = 3082813440.

The previous prime is 10864263103. The next prime is 10864263191. The reversal of 10864263168 is 86136246801.

10864263168 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 2 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10864263168² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55148446 + ... + 55148642.

Almost surely, 2^10864263168 is an apocalyptic number.

10864263168 is a gapful number since it is divisible by the number (18) 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 10864263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218205720).

10864263168 is an abundant number, since it is smaller than the sum of its proper divisors (25572148272).

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

10864263168 is a wasteful number, since it uses less digits than its factorization.

10864263168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10864263168 in words is "ten billion, eight hundred sixty-four million, two hundred sixty-three thousand, one hundred sixty-eight".