12766292280 has 1024 divisors, whose sum is σ = 54853632000. Its totient is φ = 2575411200.

The previous prime is 12766292269. The next prime is 12766292291. The reversal of 12766292280 is 8229266721.

12766292280 is a `hidden beast` number, since 1 + 27 + 66 + 292 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (12766292269) and next prime (12766292291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209283450 + ... + 209283510.

It is an arithmetic number, because the mean of its divisors is an integer number (53568000).

Almost surely, 2^12766292280 is an apocalyptic number.

12766292280 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 12766292280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426816000).

12766292280 is an abundant number, since it is smaller than the sum of its proper divisors (42087339720).

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

12766292280 is a wasteful number, since it uses less digits than its factorization.

12766292280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12766292280 in words is "twelve billion, seven hundred sixty-six million, two hundred ninety-two thousand, two hundred eighty".