13459081680 has 720 divisors, whose sum is σ = 53719061760. Its totient is φ = 3007825920.

The previous prime is 13459081651. The next prime is 13459081681. The reversal of 13459081680 is 8618095431.

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

It is a super-2 number, since 2×13459081680² (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 not an unprimeable number, because it can be changed into a prime (13459081681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77798074 + ... + 77798246.

It is an arithmetic number, because the mean of its divisors is an integer number (74609808).

Almost surely, 2^13459081680 is an apocalyptic number.

13459081680 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 13459081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26859530880).

13459081680 is an abundant number, since it is smaller than the sum of its proper divisors (40259980080).

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

13459081680 is a wasteful number, since it uses less digits than its factorization.

13459081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13459081680 in words is "thirteen billion, four hundred fifty-nine million, eighty-one thousand, six hundred eighty".