13878148560 has 160 divisors (see below), whose sum is σ = 45784569600. Its totient is φ = 3465437184.

The previous prime is 13878148553. The next prime is 13878148567. The reversal of 13878148560 is 6584187831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13878148553) and next prime (13878148567).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878148567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803374 + ... + 820466.

It is an arithmetic number, because the mean of its divisors is an integer number (286153560).

Almost surely, 2^13878148560 is an apocalyptic number.

13878148560 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 13878148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892284800).

13878148560 is an abundant number, since it is smaller than the sum of its proper divisors (31906421040).

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

13878148560 is a wasteful number, since it uses less digits than its factorization.

13878148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17325 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 13878148560 in words is "thirteen billion, eight hundred seventy-eight million, one hundred forty-eight thousand, five hundred sixty".