13478747520 has 512 divisors, whose sum is σ = 50859648000. Its totient is φ = 3034644480.

The previous prime is 13478747507. The next prime is 13478747537. The reversal of 13478747520 is 2574787431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13478747520.

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, 63880215 + ... + 63880425.

It is an arithmetic number, because the mean of its divisors is an integer number (99335250).

Almost surely, 2^13478747520 is an apocalyptic number.

13478747520 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 13478747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25429824000).

13478747520 is an abundant number, since it is smaller than the sum of its proper divisors (37380900480).

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

13478747520 is an equidigital number, since it uses as much as digits as its factorization.

13478747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 13478747520 in words is "thirteen billion, four hundred seventy-eight million, seven hundred forty-seven thousand, five hundred twenty".