12551609544768 has 1512 divisors, whose sum is σ = 46356641429280. Its totient is φ = 3352244797440.

The previous prime is 12551609544767. The next prime is 12551609544769. The reversal of 12551609544768 is 86744590615521.

It is a happy number.

12551609544768 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 16 + 0 + 9 + 544 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12551609544767) and next prime (12551609544769).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×12551609544768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12551609544767) 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 215 ways as a sum of consecutive naturals, for example, 37920270363 + ... + 37920270693.

Almost surely, 2^{12551609544768} is an apocalyptic number.

12551609544768 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 12551609544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178320714640).

12551609544768 is an abundant number, since it is smaller than the sum of its proper divisors (33805031884512).

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

12551609544768 is an frugal number, since it uses more digits than its factorization.

12551609544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 12551609544768 in words is "twelve trillion, five hundred fifty-one billion, six hundred nine million, five hundred forty-four thousand, seven hundred sixty-eight".