12781661760 has 896 divisors, whose sum is σ = 55595520000. Its totient is φ = 2755565568.

The previous prime is 12781661759. The next prime is 12781661791. The reversal of 12781661760 is 6716618721.

12781661760 is a `hidden beast` number, since 1 + 27 + 8 + 1 + 6 + 617 + 6 + 0 = 666.

12781661760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56306767 + ... + 56306993.

Almost surely, 2^12781661760 is an apocalyptic number.

12781661760 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 12781661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797760000).

12781661760 is an abundant number, since it is smaller than the sum of its proper divisors (42813858240).

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

12781661760 is a wasteful number, since it uses less digits than its factorization.

12781661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 12781 and 661760, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 12781661760 in words is "twelve billion, seven hundred eighty-one million, six hundred sixty-one thousand, seven hundred sixty".