10864488960 has 640 divisors, whose sum is σ = 42319791360. Its totient is φ = 2625896448.

The previous prime is 10864488953. The next prime is 10864488989. The reversal of 10864488960 is 6988446801.

10864488960 is a `hidden beast` number, since 10 + 8 + 64 + 488 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 10864488897 and 10864488906.

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, 96145864 + ... + 96145976.

It is an arithmetic number, because the mean of its divisors is an integer number (66124674).

Almost surely, 2^10864488960 is an apocalyptic number.

10864488960 is a gapful number since it is divisible by the number (10) 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 10864488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159895680).

10864488960 is an abundant number, since it is smaller than the sum of its proper divisors (31455302400).

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

10864488960 is a wasteful number, since it uses less digits than its factorization.

10864488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10864488960 in words is "ten billion, eight hundred sixty-four million, four hundred eighty-eight thousand, nine hundred sixty".