12606479400960 has 1440 divisors, whose sum is σ = 49329860025600. Its totient is φ = 3067839774720.

The previous prime is 12606479400959. The next prime is 12606479400961. The reversal of 12606479400960 is 6900497460621.

It is a happy number.

12606479400960 is a `hidden beast` number, since 1 + 26 + 0 + 64 + 79 + 400 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12606479400959) and next prime (12606479400961).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 12606479400897 and 12606479400906.

It is not an unprimeable number, because it can be changed into a prime (12606479400961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 29249371945 + ... + 29249372375.

It is an arithmetic number, because the mean of its divisors is an integer number (34256847240).

Almost surely, 2^{12606479400960} is an apocalyptic number.

12606479400960 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 12606479400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24664930012800).

12606479400960 is an abundant number, since it is smaller than the sum of its proper divisors (36723380624640).

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

12606479400960 is an frugal number, since it uses more digits than its factorization.

12606479400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12606479400960 in words is "twelve trillion, six hundred six billion, four hundred seventy-nine million, four hundred thousand, nine hundred sixty".