13254567480 has 576 divisors, whose sum is σ = 57319254720. Its totient is φ = 2591170560.

The previous prime is 13254567449. The next prime is 13254567503. The reversal of 13254567480 is 8476545231.

13254567480 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 567 + 4 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5182362 + ... + 5184918.

It is an arithmetic number, because the mean of its divisors is an integer number (99512595).

Almost surely, 2^13254567480 is an apocalyptic number.

13254567480 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 13254567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28659627360).

13254567480 is an abundant number, since it is smaller than the sum of its proper divisors (44064687240).

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

13254567480 is a wasteful number, since it uses less digits than its factorization.

13254567480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13254567480 in words is "thirteen billion, two hundred fifty-four million, five hundred sixty-seven thousand, four hundred eighty".