13478571120 has 480 divisors, whose sum is σ = 51602054400. Its totient is φ = 2893750272.

The previous prime is 13478571097. The next prime is 13478571131. The reversal of 13478571120 is 2117587431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39995592 + ... + 39995928.

It is an arithmetic number, because the mean of its divisors is an integer number (107504280).

Almost surely, 2^13478571120 is an apocalyptic number.

13478571120 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 13478571120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801027200).

13478571120 is an abundant number, since it is smaller than the sum of its proper divisors (38123483280).

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

13478571120 is a wasteful number, since it uses less digits than its factorization.

13478571120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 13478571120 in words is "thirteen billion, four hundred seventy-eight million, five hundred seventy-one thousand, one hundred twenty".