13717120480 has 384 divisors, whose sum is σ = 40601917440. Its totient is φ = 4273274880.

The previous prime is 13717120427. The next prime is 13717120493. The reversal of 13717120480 is 8402171731.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 98684251 + ... + 98684389.

It is an arithmetic number, because the mean of its divisors is an integer number (105734160).

Almost surely, 2^13717120480 is an apocalyptic number.

13717120480 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 13717120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300958720).

13717120480 is an abundant number, since it is smaller than the sum of its proper divisors (26884796960).

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

13717120480 is a wasteful number, since it uses less digits than its factorization.

13717120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The spelling of 13717120480 in words is "thirteen billion, seven hundred seventeen million, one hundred twenty thousand, four hundred eighty".