12600679956480 has 3840 divisors, whose sum is σ = 60748113888000. Its totient is φ = 2438473973760.

The previous prime is 12600679956437. The next prime is 12600679956523. The reversal of 12600679956480 is 8465997600621.

12600679956480 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 67 + 9 + 9 + 564 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12600679956437) and next prime (12600679956523).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×12600679956480³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 213570846691 + ... + 213570846749.

It is an arithmetic number, because the mean of its divisors is an integer number (15819821325).

Almost surely, 2^{12600679956480} is an apocalyptic number.

12600679956480 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 12600679956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30374056944000).

12600679956480 is an abundant number, since it is smaller than the sum of its proper divisors (48147433931520).

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

12600679956480 is an equidigital number, since it uses as much as digits as its factorization.

12600679956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 12600679956480 in words is "twelve trillion, six hundred billion, six hundred seventy-nine million, nine hundred fifty-six thousand, four hundred eighty".