12617268480 has 288 divisors, whose sum is σ = 45450384000. Its totient is φ = 3313778688.

The previous prime is 12617268473. The next prime is 12617268481. The reversal of 12617268480 is 8486271621.

12617268480 is a `hidden beast` number, since 1 + 2 + 617 + 26 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617268481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2312796 + ... + 2318244.

Almost surely, 2^12617268480 is an apocalyptic number.

12617268480 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 12617268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725192000).

12617268480 is an abundant number, since it is smaller than the sum of its proper divisors (32833115520).

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

12617268480 is an equidigital number, since it uses as much as digits as its factorization.

12617268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12617268480 in words is "twelve billion, six hundred seventeen million, two hundred sixty-eight thousand, four hundred eighty".