13523064216480 has 2880 divisors, whose sum is σ = 64735044853248. Its totient is φ = 2583652515840.

The previous prime is 13523064216451. The next prime is 13523064216569. The reversal of 13523064216480 is 8461246032531.

13523064216480 is a `hidden beast` number, since 1 + 3 + 52 + 306 + 4 + 216 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 9792225390 + ... + 9792226770.

Almost surely, 2^{13523064216480} is an apocalyptic number.

13523064216480 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 13523064216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32367522426624).

13523064216480 is an abundant number, since it is smaller than the sum of its proper divisors (51211980636768).

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

13523064216480 is a wasteful number, since it uses less digits than its factorization.

13523064216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13523064216480 in words is "thirteen trillion, five hundred twenty-three billion, sixty-four million, two hundred sixteen thousand, four hundred eighty".