13428211104 has 576 divisors, whose sum is σ = 50669079552. Its totient is φ = 3396556800.

The previous prime is 13428211067. The next prime is 13428211123. The reversal of 13428211104 is 40111282431.

13428211104 is a `hidden beast` number, since 1 + 342 + 8 + 211 + 104 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 24548559 + ... + 24549105.

It is an arithmetic number, because the mean of its divisors is an integer number (87967152).

Almost surely, 2^13428211104 is an apocalyptic number.

13428211104 is a gapful number since it is divisible by the number (14) 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 13428211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334539776).

13428211104 is an abundant number, since it is smaller than the sum of its proper divisors (37240868448).

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

13428211104 is a wasteful number, since it uses less digits than its factorization.

13428211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13428211104 its reverse (40111282431), we get a palindrome (53539493535).

The spelling of 13428211104 in words is "thirteen billion, four hundred twenty-eight million, two hundred eleven thousand, one hundred four".