13384500480 has 576 divisors, whose sum is σ = 52854896640. Its totient is φ = 3188367360.

The previous prime is 13384500473. The next prime is 13384500487. The reversal of 13384500480 is 8400548331.

13384500480 is a `hidden beast` number, since 1 + 33 + 84 + 500 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13384500473) and next prime (13384500487).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13384500487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431758065 + ... + 431758095.

Almost surely, 2^13384500480 is an apocalyptic number.

13384500480 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 13384500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26427448320).

13384500480 is an abundant number, since it is smaller than the sum of its proper divisors (39470396160).

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

13384500480 is an frugal number, since it uses more digits than its factorization.

13384500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13384500480 in words is "thirteen billion, three hundred eighty-four million, five hundred thousand, four hundred eighty".