13782286080 has 360 divisors, whose sum is σ = 49590440592. Its totient is φ = 3654844416.

The previous prime is 13782286057. The next prime is 13782286093. The reversal of 13782286080 is 8068228731.

13782286080 is a `hidden beast` number, since 1 + 37 + 8 + 2 + 2 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 31829544 + ... + 31829976.

Almost surely, 2^13782286080 is an apocalyptic number.

13782286080 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 13782286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24795220296).

13782286080 is an abundant number, since it is smaller than the sum of its proper divisors (35808154512).

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

13782286080 is an equidigital number, since it uses as much as digits as its factorization.

13782286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13782286080 in words is "thirteen billion, seven hundred eighty-two million, two hundred eighty-six thousand, eighty".