12787263251280 has 640 divisors, whose sum is σ = 50768064921600. Its totient is φ = 2897891168256.

The previous prime is 12787263251183. The next prime is 12787263251311. The reversal of 12787263251280 is 8215236278721.

12787263251280 is a `hidden beast` number, since 1 + 2 + 7 + 87 + 263 + 25 + 1 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841979847 + ... + 841995033.

It is an arithmetic number, because the mean of its divisors is an integer number (79325101440).

Almost surely, 2^{12787263251280} is an apocalyptic number.

12787263251280 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 12787263251280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384032460800).

12787263251280 is an abundant number, since it is smaller than the sum of its proper divisors (37980801670320).

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

12787263251280 is a wasteful number, since it uses less digits than its factorization.

12787263251280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15688 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12787263251280 in words is "twelve trillion, seven hundred eighty-seven billion, two hundred sixty-three million, two hundred fifty-one thousand, two hundred eighty".