12676785455040 has 896 divisors, whose sum is σ = 47335360020480. Its totient is φ = 2814948605952.

The previous prime is 12676785455039. The next prime is 12676785455083. The reversal of 12676785455040 is 4055458767621.

It is a super-2 number, since 2×12676785455040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8760735597 + ... + 8760737043.

It is an arithmetic number, because the mean of its divisors is an integer number (52829642880).

Almost surely, 2^{12676785455040} is an apocalyptic number.

12676785455040 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 12676785455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23667680010240).

12676785455040 is an abundant number, since it is smaller than the sum of its proper divisors (34658574565440).

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

12676785455040 is a wasteful number, since it uses less digits than its factorization.

12676785455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 60.

The spelling of 12676785455040 in words is "twelve trillion, six hundred seventy-six billion, seven hundred eighty-five million, four hundred fifty-five thousand, forty".