13478984820 has 480 divisors, whose sum is σ = 52953626880. Its totient is φ = 2798530560.

The previous prime is 13478984801. The next prime is 13478984821. The reversal of 13478984820 is 2848987431.

It is a happy number.

13478984820 is a `hidden beast` number, since 1 + 3 + 4 + 78 + 98 + 482 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478984821) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5589415 + ... + 5591825.

It is an arithmetic number, because the mean of its divisors is an integer number (110320056).

Almost surely, 2^13478984820 is an apocalyptic number.

13478984820 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 13478984820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26476813440).

13478984820 is an abundant number, since it is smaller than the sum of its proper divisors (39474642060).

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

13478984820 is a wasteful number, since it uses less digits than its factorization.

13478984820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13478984820 in words is "thirteen billion, four hundred seventy-eight million, nine hundred eighty-four thousand, eight hundred twenty".