13830270480 has 600 divisors, whose sum is σ = 53031067848. Its totient is φ = 3338330112.

The previous prime is 13830270469. The next prime is 13830270481. The reversal of 13830270480 is 8407203831.

13830270480 is a `hidden beast` number, since 1 + 383 + 0 + 270 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4157154576 + 9673115904 = 64476^2 + 98352^2 .

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 (13830270481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79943674 + ... + 79943846.

Almost surely, 2^13830270480 is an apocalyptic number.

13830270480 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 13830270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515533924).

13830270480 is an abundant number, since it is smaller than the sum of its proper divisors (39200797368).

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

13830270480 is a wasteful number, since it uses less digits than its factorization.

13830270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13830270480 in words is "thirteen billion, eight hundred thirty million, two hundred seventy thousand, four hundred eighty".