13855104000 has 704 divisors, whose sum is σ = 54158707200. Its totient is φ = 3483648000.

The previous prime is 13855103959. The next prime is 13855104001. The reversal of 13855104000 is 40155831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13855104001) 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 63 ways as a sum of consecutive naturals, for example, 65663895 + ... + 65664105.

Almost surely, 2^13855104000 is an apocalyptic number.

13855104000 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 13855104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079353600).

13855104000 is an abundant number, since it is smaller than the sum of its proper divisors (40303603200).

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

13855104000 is a wasteful number, since it uses less digits than its factorization.

13855104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13855104000 its reverse (40155831), we get a palindrome (13895259831).

It can be divided in two parts, 13855 and 104000, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 13855104000 in words is "thirteen billion, eight hundred fifty-five million, one hundred four thousand".