13878869760 has 648 divisors, whose sum is σ = 58342546080. Its totient is φ = 3031547904.

The previous prime is 13878869749. The next prime is 13878869777. The reversal of 13878869760 is 6796887831.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 12982506 + ... + 12983574.

Almost surely, 2^13878869760 is an apocalyptic number.

13878869760 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 13878869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29171273040).

13878869760 is an abundant number, since it is smaller than the sum of its proper divisors (44463676320).

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

13878869760 is a wasteful number, since it uses less digits than its factorization.

13878869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 13878869760 in words is "thirteen billion, eight hundred seventy-eight million, eight hundred sixty-nine thousand, seven hundred sixty".