13715328480 has 192 divisors, whose sum is σ = 49837939200. Its totient is φ = 3105552384.

The previous prime is 13715328479. The next prime is 13715328491. The reversal of 13715328480 is 8482351731.

It is a super-2 number, since 2×13715328480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 340446 + ... + 378594.

It is an arithmetic number, because the mean of its divisors is an integer number (259572600).

Almost surely, 2^13715328480 is an apocalyptic number.

13715328480 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 13715328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918969600).

13715328480 is an abundant number, since it is smaller than the sum of its proper divisors (36122610720).

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

13715328480 is a wasteful number, since it uses less digits than its factorization.

13715328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38281 (or 38273 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13715328480 in words is "thirteen billion, seven hundred fifteen million, three hundred twenty-eight thousand, four hundred eighty".