13485588480 has 960 divisors, whose sum is σ = 59892833280. Its totient is φ = 2802843648.

The previous prime is 13485588469. The next prime is 13485588517. The reversal of 13485588480 is 8488558431.

13485588480 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 558 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×13485588480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201277407 + ... + 201277473.

It is an arithmetic number, because the mean of its divisors is an integer number (62388368).

Almost surely, 2^13485588480 is an apocalyptic number.

13485588480 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 13485588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29946416640).

13485588480 is an abundant number, since it is smaller than the sum of its proper divisors (46407244800).

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

13485588480 is an equidigital number, since it uses as much as digits as its factorization.

13485588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 13485588480 in words is "thirteen billion, four hundred eighty-five million, five hundred eighty-eight thousand, four hundred eighty".