12978091584 has 336 divisors, whose sum is σ = 40938803568. Its totient is φ = 3914072064.

The previous prime is 12978091561. The next prime is 12978091591. The reversal of 12978091584 is 48519087921.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 641102400 + 12336989184 = 25320^2 + 111072^2 .

It is a super-2 number, since 2×12978091584² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12978091584.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40940194 + ... + 40940510.

Almost surely, 2^12978091584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12978091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469401784).

12978091584 is an abundant number, since it is smaller than the sum of its proper divisors (27960711984).

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

12978091584 is a wasteful number, since it uses less digits than its factorization.

12978091584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12978091584 in words is "twelve billion, nine hundred seventy-eight million, ninety-one thousand, five hundred eighty-four".