13078143960 has 256 divisors, whose sum is σ = 45529482240. Its totient is φ = 2943682560.

The previous prime is 13078143943. The next prime is 13078143989. The reversal of 13078143960 is 6934187031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17275902 + ... + 17276658.

It is an arithmetic number, because the mean of its divisors is an integer number (177849540).

Almost surely, 2^13078143960 is an apocalyptic number.

13078143960 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 13078143960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22764741120).

13078143960 is an abundant number, since it is smaller than the sum of its proper divisors (32451338280).

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

13078143960 is a wasteful number, since it uses less digits than its factorization.

13078143960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13078143960 in words is "thirteen billion, seventy-eight million, one hundred forty-three thousand, nine hundred sixty".