13827590784 has 512 divisors, whose sum is σ = 49939200000. Its totient is φ = 3678732288.

The previous prime is 13827590771. The next prime is 13827590789. The reversal of 13827590784 is 48709572831.

It is a happy number.

It is a super-3 number, since 3×13827590784³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13827590784.

It is not an unprimeable number, because it can be changed into a prime (13827590789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30796192 + ... + 30796640.

It is an arithmetic number, because the mean of its divisors is an integer number (97537500).

Almost surely, 2^13827590784 is an apocalyptic number.

13827590784 is a gapful number since it is divisible by the number (14) 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 13827590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600000).

13827590784 is an abundant number, since it is smaller than the sum of its proper divisors (36111609216).

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

13827590784 is a wasteful number, since it uses less digits than its factorization.

13827590784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13827590784 in words is "thirteen billion, eight hundred twenty-seven million, five hundred ninety thousand, seven hundred eighty-four".