10864264320 has 1280 divisors, whose sum is σ = 49762944000. Its totient is φ = 2243469312.

The previous prime is 10864264303. The next prime is 10864264343. The reversal of 10864264320 is 2346246801.

10864264320 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 2 + 643 + 2 + 0 = 666.

It is a super-3 number, since 3×10864264320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 231154537 + ... + 231154583.

It is an arithmetic number, because the mean of its divisors is an integer number (38877300).

Almost surely, 2^10864264320 is an apocalyptic number.

10864264320 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 10864264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881472000).

10864264320 is an abundant number, since it is smaller than the sum of its proper divisors (38898679680).

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

10864264320 is an equidigital number, since it uses as much as digits as its factorization.

10864264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10864264320 in words is "ten billion, eight hundred sixty-four million, two hundred sixty-four thousand, three hundred twenty".