10855144800 has 144 divisors (see below), whose sum is σ = 39259518480. Its totient is φ = 2894699520.

The previous prime is 10855144799. The next prime is 10855144801. The reversal of 10855144800 is 844155801.

It is an interprime number because it is at equal distance from previous prime (10855144799) and next prime (10855144801).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10855144801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 229677 + ... + 272876.

It is an arithmetic number, because the mean of its divisors is an integer number (272635545).

Almost surely, 2^10855144800 is an apocalyptic number.

10855144800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10855144800 is an abundant number, since it is smaller than the sum of its proper divisors (28404373680).

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

10855144800 is a wasteful number, since it uses less digits than its factorization.

10855144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502582 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 108551 and 44800, that added together give a palindrome (153351).

The spelling of 10855144800 in words is "ten billion, eight hundred fifty-five million, one hundred forty-four thousand, eight hundred".