13780582848 has 168 divisors, whose sum is σ = 42639386400. Its totient is φ = 4242180096.

The previous prime is 13780582843. The next prime is 13780582867. The reversal of 13780582848 is 84828508731.

13780582848 is a `hidden beast` number, since 13 + 7 + 8 + 0 + 582 + 8 + 48 = 666.

It is a super-2 number, since 2×13780582848² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13780582794 and 13780582803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780582843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366258 + ... + 402126.

Almost surely, 2^13780582848 is an apocalyptic number.

13780582848 is a gapful number since it is divisible by the number (18) 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 13780582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319693200).

13780582848 is an abundant number, since it is smaller than the sum of its proper divisors (28858803552).

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

13780582848 is a wasteful number, since it uses less digits than its factorization.

13780582848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35939 (or 35926 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 13780582848 in words is "thirteen billion, seven hundred eighty million, five hundred eighty-two thousand, eight hundred forty-eight".