12859444620 has 288 divisors, whose sum is σ = 43400448000. Its totient is φ = 3056002560.

The previous prime is 12859444613. The next prime is 12859444621. The reversal of 12859444620 is 2644495821.

It is a happy number.

12859444620 is a `hidden beast` number, since 12 + 8 + 5 + 9 + 4 + 4 + 4 + 620 = 666.

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 (12859444621) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35820001 + ... + 35820359.

It is an arithmetic number, because the mean of its divisors is an integer number (150696000).

Almost surely, 2^12859444620 is an apocalyptic number.

12859444620 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 12859444620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700224000).

12859444620 is an abundant number, since it is smaller than the sum of its proper divisors (30541003380).

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

12859444620 is a wasteful number, since it uses less digits than its factorization.

12859444620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12859444620 in words is "twelve billion, eight hundred fifty-nine million, four hundred forty-four thousand, six hundred twenty".