12608923810560 has 1152 divisors, whose sum is σ = 54080213483520. Its totient is φ = 2425238323200.

The previous prime is 12608923810541. The next prime is 12608923810579. The reversal of 12608923810560 is 6501832980621.

It is an interprime number because it is at equal distance from previous prime (12608923810541) and next prime (12608923810579).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210789936 + ... + 210849744.

It is an arithmetic number, because the mean of its divisors is an integer number (46944629760).

Almost surely, 2^{12608923810560} is an apocalyptic number.

12608923810560 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 12608923810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27040106741760).

12608923810560 is an abundant number, since it is smaller than the sum of its proper divisors (41471289672960).

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

12608923810560 is a wasteful number, since it uses less digits than its factorization.

12608923810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59905 (or 59891 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 12608923810560 in words is "twelve trillion, six hundred eight billion, nine hundred twenty-three million, eight hundred ten thousand, five hundred sixty".