13480812000 has 288 divisors, whose sum is σ = 48008600640. Its totient is φ = 3582489600.

The previous prime is 13480811947. The next prime is 13480812017. The reversal of 13480812000 is 21808431.

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

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, 15803574 + ... + 15804426.

It is an arithmetic number, because the mean of its divisors is an integer number (166696530).

Almost surely, 2^13480812000 is an apocalyptic number.

13480812000 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 13480812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004300320).

13480812000 is an abundant number, since it is smaller than the sum of its proper divisors (34527788640).

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

13480812000 is a wasteful number, since it uses less digits than its factorization.

13480812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 13480812000 in words is "thirteen billion, four hundred eighty million, eight hundred twelve thousand".