12676538880 has 400 divisors, whose sum is σ = 45889824024. Its totient is φ = 3344302080.

The previous prime is 12676538873. The next prime is 12676538911. The reversal of 12676538880 is 8883567621.

12676538880 is a `hidden beast` number, since 1 + 26 + 7 + 6 + 538 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5628600576 + 7047938304 = 75024^2 + 83952^2 .

It is a super-3 number, since 3×12676538880³ (a number of 31 digits) contains 333 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 23431410 + ... + 23431950.

Almost surely, 2^12676538880 is an apocalyptic number.

12676538880 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 12676538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944912012).

12676538880 is an abundant number, since it is smaller than the sum of its proper divisors (33213285144).

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

12676538880 is an equidigital number, since it uses as much as digits as its factorization.

12676538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12676538880 in words is "twelve billion, six hundred seventy-six million, five hundred thirty-eight thousand, eight hundred eighty".