38782555005012 has 768 divisors, whose sum is σ = 120551251968000. Its totient is φ = 9626867712000.

The previous prime is 38782555004993. The next prime is 38782555005049. The reversal of 38782555005012 is 21050055528783.

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 255 ways as a sum of consecutive naturals, for example, 28495631212 + ... + 28495632572.

It is an arithmetic number, because the mean of its divisors is an integer number (156967776000).

Almost surely, 2^{38782555005012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38782555005012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60275625984000).

38782555005012 is an abundant number, since it is smaller than the sum of its proper divisors (81768696962988).

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

38782555005012 is a wasteful number, since it uses less digits than its factorization.

38782555005012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 51.

The spelling of 38782555005012 in words is "thirty-eight trillion, seven hundred eighty-two billion, five hundred fifty-five million, five thousand, twelve".