12603948664320 has 960 divisors, whose sum is σ = 49987098120960. Its totient is φ = 2907511455744.

The previous prime is 12603948664313. The next prime is 12603948664339. The reversal of 12603948664320 is 2346684930621.

12603948664320 is a `hidden beast` number, since 1 + 2 + 60 + 3 + 94 + 8 + 66 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1216944582 + ... + 1216954938.

It is an arithmetic number, because the mean of its divisors is an integer number (52069893876).

Almost surely, 2^{12603948664320} is an apocalyptic number.

12603948664320 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 12603948664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24993549060480).

12603948664320 is an abundant number, since it is smaller than the sum of its proper divisors (37383149456640).

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

12603948664320 is a wasteful number, since it uses less digits than its factorization.

12603948664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 12603948664320 in words is "twelve trillion, six hundred three billion, nine hundred forty-eight million, six hundred sixty-four thousand, three hundred twenty".