13200170400 has 288 divisors, whose sum is σ = 47893809600. Its totient is φ = 3508761600.

The previous prime is 13200170363. The next prime is 13200170441. The reversal of 13200170400 is 407100231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8401615 + ... + 8403185.

It is an arithmetic number, because the mean of its divisors is an integer number (166297950).

Almost surely, 2^13200170400 is an apocalyptic number.

13200170400 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 13200170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23946904800).

13200170400 is an abundant number, since it is smaller than the sum of its proper divisors (34693639200).

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

13200170400 is a wasteful number, since it uses less digits than its factorization.

13200170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 13200170400 its reverse (407100231), we get a palindrome (13607270631).

The spelling of 13200170400 in words is "thirteen billion, two hundred million, one hundred seventy thousand, four hundred".