12678415650 has 288 divisors, whose sum is σ = 37398606336. Its totient is φ = 3188160000.

The previous prime is 12678415583. The next prime is 12678415657. The reversal of 12678415650 is 5651487621.

12678415650 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 84 + 1 + 565 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12678415596 and 12678415605.

It is not an unprimeable number, because it can be changed into a prime (12678415657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15442240 + ... + 15443060.

It is an arithmetic number, because the mean of its divisors is an integer number (129856272).

Almost surely, 2^12678415650 is an apocalyptic number.

12678415650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12678415650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699303168).

12678415650 is an abundant number, since it is smaller than the sum of its proper divisors (24720190686).

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

12678415650 is a wasteful number, since it uses less digits than its factorization.

12678415650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12678415650 in words is "twelve billion, six hundred seventy-eight million, four hundred fifteen thousand, six hundred fifty".