10864856800 has 72 divisors (see below), whose sum is σ = 30312966096. Its totient is φ = 3725091840.

The previous prime is 10864856789. The next prime is 10864856803. The reversal of 10864856800 is 865846801.

It is a super-2 number, since 2×10864856800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864856803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964477 + ... + 975676.

It is an arithmetic number, because the mean of its divisors is an integer number (421013418).

Almost surely, 2^10864856800 is an apocalyptic number.

10864856800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10864856800 is an abundant number, since it is smaller than the sum of its proper divisors (19448109296).

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

10864856800 is a wasteful number, since it uses less digits than its factorization.

10864856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940180 (or 1940167 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

Subtracting from 10864856800 its reverse (865846801), we obtain a palindrome (9999009999).

The spelling of 10864856800 in words is "ten billion, eight hundred sixty-four million, eight hundred fifty-six thousand, eight hundred".