12617937300480 has 352 divisors, whose sum is σ = 41010266533824. Its totient is φ = 3310778056704.

The previous prime is 12617937300461. The next prime is 12617937300499. The reversal of 12617937300480 is 8400373971621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12617937300461) and next prime (12617937300499).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257731684 + ... + 257780636.

Almost surely, 2^{12617937300480} is an apocalyptic number.

12617937300480 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 12617937300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505133266912).

12617937300480 is an abundant number, since it is smaller than the sum of its proper divisors (28392329233344).

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

12617937300480 is a wasteful number, since it uses less digits than its factorization.

12617937300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49251 (or 49233 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 12617937300480 in words is "twelve trillion, six hundred seventeen billion, nine hundred thirty-seven million, three hundred thousand, four hundred eighty".