12707988480 has 704 divisors, whose sum is σ = 50440700160. Its totient is φ = 3008102400.

The previous prime is 12707988473. The next prime is 12707988511. The reversal of 12707988480 is 8488970721.

It is a happy number.

12707988480 is a `hidden beast` number, since 1 + 2 + 70 + 7 + 98 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×12707988480² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92758972 + ... + 92759108.

Almost surely, 2^12707988480 is an apocalyptic number.

12707988480 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 12707988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220350080).

12707988480 is an abundant number, since it is smaller than the sum of its proper divisors (37732711680).

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

12707988480 is a wasteful number, since it uses less digits than its factorization.

12707988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 12707988480 in words is "twelve billion, seven hundred seven million, nine hundred eighty-eight thousand, four hundred eighty".