12455078676480 has 1536 divisors, whose sum is σ = 49216108032000. Its totient is φ = 2962780323840.

The previous prime is 12455078676437. The next prime is 12455078676517. The reversal of 12455078676480 is 8467687055421.

12455078676480 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 5 + 0 + 7 + 86 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 69581445031 + ... + 69581445209.

It is an arithmetic number, because the mean of its divisors is an integer number (32041737000).

Almost surely, 2^{12455078676480} is an apocalyptic number.

12455078676480 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 12455078676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608054016000).

12455078676480 is an abundant number, since it is smaller than the sum of its proper divisors (36761029355520).

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

12455078676480 is a wasteful number, since it uses less digits than its factorization.

12455078676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 12455078676480 in words is "twelve trillion, four hundred fifty-five billion, seventy-eight million, six hundred seventy-six thousand, four hundred eighty".