12650618880 has 672 divisors, whose sum is σ = 48088954368. Its totient is φ = 3185049600.

The previous prime is 12650618863. The next prime is 12650618923. The reversal of 12650618880 is 8881605621.

12650618880 is a `hidden beast` number, since 1 + 26 + 5 + 0 + 618 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×12650618880³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308551660 + ... + 308551700.

It is an arithmetic number, because the mean of its divisors is an integer number (71560944).

Almost surely, 2^12650618880 is an apocalyptic number.

12650618880 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 12650618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044477184).

12650618880 is an abundant number, since it is smaller than the sum of its proper divisors (35438335488).

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

12650618880 is an frugal number, since it uses more digits than its factorization.

12650618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12650618880 in words is "twelve billion, six hundred fifty million, six hundred eighteen thousand, eight hundred eighty".