12278953709568 has 936 divisors, whose sum is σ = 45001930646400. Its totient is φ = 3196929835008.

The previous prime is 12278953709567. The next prime is 12278953709569. The reversal of 12278953709568 is 86590735987221.

12278953709568 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 9 + 53 + 7 + 0 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (12278953709567) and next prime (12278953709569).

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12278953709496 and 12278953709505.

It is not an unprimeable number, because it can be changed into a prime (12278953709567) 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 71 ways as a sum of consecutive naturals, for example, 1855103763 + ... + 1855110381.

Almost surely, 2^{12278953709568} is an apocalyptic number.

12278953709568 is a gapful number since it is divisible by the number (18) 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 12278953709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500965323200).

12278953709568 is an abundant number, since it is smaller than the sum of its proper divisors (32722976936832).

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

12278953709568 is a wasteful number, since it uses less digits than its factorization.

12278953709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 12278953709568 in words is "twelve trillion, two hundred seventy-eight billion, nine hundred fifty-three million, seven hundred nine thousand, five hundred sixty-eight".