12986356320 has 576 divisors, whose sum is σ = 54606182400. Its totient is φ = 2871106560.

The previous prime is 12986356319. The next prime is 12986356349. The reversal of 12986356320 is 2365368921.

12986356320 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 6 + 3 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561091 + ... + 6563069.

It is an arithmetic number, because the mean of its divisors is an integer number (94802400).

Almost surely, 2^12986356320 is an apocalyptic number.

12986356320 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 12986356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303091200).

12986356320 is an abundant number, since it is smaller than the sum of its proper divisors (41619826080).

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

12986356320 is a wasteful number, since it uses less digits than its factorization.

12986356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12986356320 in words is "twelve billion, nine hundred eighty-six million, three hundred fifty-six thousand, three hundred twenty".