13896580320 has 720 divisors, whose sum is σ = 57981147840. Its totient is φ = 3124832256.

The previous prime is 13896580309. The next prime is 13896580343. The reversal of 13896580320 is 2308569831.

It is a happy number.

13896580320 is a `hidden beast` number, since 1 + 38 + 9 + 6 + 580 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13896580320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50168022 + ... + 50168298.

It is an arithmetic number, because the mean of its divisors is an integer number (80529372).

Almost surely, 2^13896580320 is an apocalyptic number.

13896580320 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 13896580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28990573920).

13896580320 is an abundant number, since it is smaller than the sum of its proper divisors (44084567520).

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

13896580320 is a wasteful number, since it uses less digits than its factorization.

13896580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13896580320 in words is "thirteen billion, eight hundred ninety-six million, five hundred eighty thousand, three hundred twenty".