12677787360 has 384 divisors, whose sum is σ = 51414773760. Its totient is φ = 2857586688.

The previous prime is 12677787341. The next prime is 12677787377. The reversal of 12677787360 is 6378777621.

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

It is a junction number, because it is equal to n+sod(n) for n = 12677787297 and 12677787306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2204649 + ... + 2210391.

It is an arithmetic number, because the mean of its divisors is an integer number (133892640).

Almost surely, 2^12677787360 is an apocalyptic number.

12677787360 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 12677787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25707386880).

12677787360 is an abundant number, since it is smaller than the sum of its proper divisors (38736986400).

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

12677787360 is a wasteful number, since it uses less digits than its factorization.

12677787360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 12677787360 in words is "twelve billion, six hundred seventy-seven million, seven hundred eighty-seven thousand, three hundred sixty".