12757283016192 has 480 divisors, whose sum is σ = 44175592581120. Its totient is φ = 3492537384960.

The previous prime is 12757283016173. The next prime is 12757283016263. The reversal of 12757283016192 is 29161038275721.

12757283016192 is a `hidden beast` number, since 1 + 2 + 7 + 572 + 8 + 3 + 0 + 1 + 61 + 9 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 30764409 + ... + 31176327.

It is an arithmetic number, because the mean of its divisors is an integer number (92032484544).

Almost surely, 2^{12757283016192} is an apocalyptic number.

12757283016192 is a gapful number since it is divisible by the number (12) 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 12757283016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087796290560).

12757283016192 is an abundant number, since it is smaller than the sum of its proper divisors (31418309564928).

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

12757283016192 is a wasteful number, since it uses less digits than its factorization.

12757283016192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412014 (or 411995 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12757283016192 in words is "twelve trillion, seven hundred fifty-seven billion, two hundred eighty-three million, sixteen thousand, one hundred ninety-two".