12535679780 has 288 divisors, whose sum is σ = 31875379200. Its totient is φ = 4121155584.

The previous prime is 12535679773. The next prime is 12535679851. The reversal of 12535679780 is 8797653521.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 98706077 + ... + 98706203.

It is an arithmetic number, because the mean of its divisors is an integer number (110678400).

Almost surely, 2^12535679780 is an apocalyptic number.

12535679780 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 12535679780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937689600).

12535679780 is an abundant number, since it is smaller than the sum of its proper divisors (19339699420).

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

12535679780 is a wasteful number, since it uses less digits than its factorization.

12535679780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 12535679780 in words is "twelve billion, five hundred thirty-five million, six hundred seventy-nine thousand, seven hundred eighty".