13420953600 has 384 divisors, whose sum is σ = 45767546880. Its totient is φ = 3468165120.

The previous prime is 13420953599. The next prime is 13420953607. The reversal of 13420953600 is 635902431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420953607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105676737 + ... + 105676863.

It is an arithmetic number, because the mean of its divisors is an integer number (119186320).

Almost surely, 2^13420953600 is an apocalyptic number.

13420953600 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 13420953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883773440).

13420953600 is an abundant number, since it is smaller than the sum of its proper divisors (32346593280).

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

13420953600 is an equidigital number, since it uses as much as digits as its factorization.

13420953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 13420953600 in words is "thirteen billion, four hundred twenty million, nine hundred fifty-three thousand, six hundred".