12787863960 has 128 divisors (see below), whose sum is σ = 39038630400. Its totient is φ = 3350430720.

The previous prime is 12787863943. The next prime is 12787863967. The reversal of 12787863960 is 6936878721.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12787863960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787863967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613196 + ... + 2618084.

It is an arithmetic number, because the mean of its divisors is an integer number (304989300).

Almost surely, 2^12787863960 is an apocalyptic number.

12787863960 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 12787863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19519315200).

12787863960 is an abundant number, since it is smaller than the sum of its proper divisors (26250766440).

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

12787863960 is a wasteful number, since it uses less digits than its factorization.

12787863960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 12787863960 in words is "twelve billion, seven hundred eighty-seven million, eight hundred sixty-three thousand, nine hundred sixty".