12870156960 has 384 divisors, whose sum is σ = 46939253760. Its totient is φ = 3290554368.

The previous prime is 12870156953. The next prime is 12870156967. The reversal of 12870156960 is 6965107821.

12870156960 is a `hidden beast` number, since 1 + 2 + 87 + 0 + 1 + 569 + 6 + 0 = 666.

12870156960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12870156953) and next prime (12870156967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12870156967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11667769 + ... + 11668871.

It is an arithmetic number, because the mean of its divisors is an integer number (122237640).

Almost surely, 2^12870156960 is an apocalyptic number.

12870156960 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 12870156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469626880).

12870156960 is an abundant number, since it is smaller than the sum of its proper divisors (34069096800).

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

12870156960 is a wasteful number, since it uses less digits than its factorization.

12870156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12870156960 in words is "twelve billion, eight hundred seventy million, one hundred fifty-six thousand, nine hundred sixty".