12277618487680 has 512 divisors, whose sum is σ = 39252571545600. Its totient is φ = 3562398351360.

The previous prime is 12277618487677. The next prime is 12277618487681. The reversal of 12277618487680 is 8678481677221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277618487681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34124404 + ... + 34482316.

It is an arithmetic number, because the mean of its divisors is an integer number (76665178800).

Almost surely, 2^{12277618487680} is an apocalyptic number.

12277618487680 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 12277618487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626285772800).

12277618487680 is an abundant number, since it is smaller than the sum of its proper divisors (26974953057920).

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

12277618487680 is a wasteful number, since it uses less digits than its factorization.

12277618487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358002 (or 357990 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 67.

The spelling of 12277618487680 in words is "twelve trillion, two hundred seventy-seven billion, six hundred eighteen million, four hundred eighty-seven thousand, six hundred eighty".