13435000320 has 480 divisors, whose sum is σ = 52619846400. Its totient is φ = 2907684864.

The previous prime is 13435000297. The next prime is 13435000343. The reversal of 13435000320 is 2300053431.

It is an interprime number because it is at equal distance from previous prime (13435000297) and next prime (13435000343).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 7149141 + ... + 7151019.

It is an arithmetic number, because the mean of its divisors is an integer number (109624680).

Almost surely, 2^13435000320 is an apocalyptic number.

13435000320 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 13435000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26309923200).

13435000320 is an abundant number, since it is smaller than the sum of its proper divisors (39184846080).

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

13435000320 is a wasteful number, since it uses less digits than its factorization.

13435000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 13435000320 its reverse (2300053431), we get a palindrome (15735053751).

The spelling of 13435000320 in words is "thirteen billion, four hundred thirty-five million, three hundred twenty", and thus it is an aban number.