12719640536064 has 2112 divisors, whose sum is σ = 50808570624000. Its totient is φ = 3099610644480.

The previous prime is 12719640536021. The next prime is 12719640536089. The reversal of 12719640536064 is 46063504691721.

It is a happy number.

12719640536064 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 9 + 6 + 40 + 536 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×12719640536064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12719640536064.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47284908922 + ... + 47284909190.

Almost surely, 2^{12719640536064} is an apocalyptic number.

12719640536064 is a gapful number since it is divisible by the number (14) 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 12719640536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404285312000).

12719640536064 is an abundant number, since it is smaller than the sum of its proper divisors (38088930087936).

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

12719640536064 is a wasteful number, since it uses less digits than its factorization.

12719640536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12719640536064 in words is "twelve trillion, seven hundred nineteen billion, six hundred forty million, five hundred thirty-six thousand, sixty-four".