12676510080 has 768 divisors, whose sum is σ = 50185175040. Its totient is φ = 2926264320.

The previous prime is 12676510069. The next prime is 12676510169. The reversal of 12676510080 is 8001567621.

12676510080 is a `hidden beast` number, since 1 + 2 + 67 + 6 + 510 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99814977 + ... + 99815103.

It is an arithmetic number, because the mean of its divisors is an integer number (65345280).

Almost surely, 2^12676510080 is an apocalyptic number.

12676510080 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 12676510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092587520).

12676510080 is an abundant number, since it is smaller than the sum of its proper divisors (37508664960).

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

12676510080 is a wasteful number, since it uses less digits than its factorization.

12676510080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12676510080 in words is "twelve billion, six hundred seventy-six million, five hundred ten thousand, eighty".