12077859456 has 480 divisors, whose sum is σ = 39909214620. Its totient is φ = 3622993920.

The previous prime is 12077859433. The next prime is 12077859461. The reversal of 12077859456 is 65495877021.

It can be written as a sum of positive squares in 6 ways, for example, as 645973056 + 11431886400 = 25416^2 + 106920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 106883656 + ... + 106883768.

Almost surely, 2^12077859456 is an apocalyptic number.

12077859456 is a gapful number since it is divisible by the number (16) 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 12077859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954607310).

12077859456 is an abundant number, since it is smaller than the sum of its proper divisors (27831355164).

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

12077859456 is a wasteful number, since it uses less digits than its factorization.

12077859456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 12077859456 in words is "twelve billion, seventy-seven million, eight hundred fifty-nine thousand, four hundred fifty-six".