13959878240 has 192 divisors, whose sum is σ = 41195589120. Its totient is φ = 4342947840.

The previous prime is 13959878239. The next prime is 13959878249. The reversal of 13959878240 is 4287895931.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13959878249) 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, 12430319 + ... + 12431441.

It is an arithmetic number, because the mean of its divisors is an integer number (214560360).

Almost surely, 2^13959878240 is an apocalyptic number.

13959878240 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 13959878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597794560).

13959878240 is an abundant number, since it is smaller than the sum of its proper divisors (27235710880).

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

13959878240 is a wasteful number, since it uses less digits than its factorization.

13959878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 13959878240 in words is "thirteen billion, nine hundred fifty-nine million, eight hundred seventy-eight thousand, two hundred forty".