13584295480 has 384 divisors, whose sum is σ = 39697920000. Its totient is φ = 4165862400.

The previous prime is 13584295469. The next prime is 13584295481. The reversal of 13584295480 is 8459248531.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13584295481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331324260 + ... + 331324300.

It is an arithmetic number, because the mean of its divisors is an integer number (103380000).

Almost surely, 2^13584295480 is an apocalyptic number.

13584295480 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 13584295480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19848960000).

13584295480 is an abundant number, since it is smaller than the sum of its proper divisors (26113624520).

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

13584295480 is a wasteful number, since it uses less digits than its factorization.

13584295480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 13584295480 in words is "thirteen billion, five hundred eighty-four million, two hundred ninety-five thousand, four hundred eighty".