12787654656 has 448 divisors, whose sum is σ = 41835628800. Its totient is φ = 3468165120.

The previous prime is 12787654559. The next prime is 12787654669. The reversal of 12787654656 is 65645678721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12787654656² (a number of 21 digits) contains 22 as substring.

Its product of digits (16934400) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 12787654596 and 12787654605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311893996 + ... + 311894036.

It is an arithmetic number, because the mean of its divisors is an integer number (93383100).

Almost surely, 2^12787654656 is an apocalyptic number.

12787654656 is a gapful number since it is divisible by the number (16) 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 12787654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917814400).

12787654656 is an abundant number, since it is smaller than the sum of its proper divisors (29047974144).

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

12787654656 is an frugal number, since it uses more digits than its factorization.

12787654656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The spelling of 12787654656 in words is "twelve billion, seven hundred eighty-seven million, six hundred fifty-four thousand, six hundred fifty-six".