12688514280 has 192 divisors, whose sum is σ = 44549406720. Its totient is φ = 3113510400.

The previous prime is 12688514231. The next prime is 12688514323. The reversal of 12688514280 is 8241588621.

12688514280 is a `hidden beast` number, since 126 + 8 + 8 + 514 + 2 + 8 + 0 = 666.

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, 1544985 + ... + 1553175.

It is an arithmetic number, because the mean of its divisors is an integer number (232028160).

Almost surely, 2^12688514280 is an apocalyptic number.

12688514280 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 12688514280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274703360).

12688514280 is an abundant number, since it is smaller than the sum of its proper divisors (31860892440).

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

12688514280 is a wasteful number, since it uses less digits than its factorization.

12688514280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12688514280 in words is "twelve billion, six hundred eighty-eight million, five hundred fourteen thousand, two hundred eighty".