38871209516778 has 192 divisors, whose sum is σ = 94104352293120. Its totient is φ = 11539148544000.

The previous prime is 38871209516773. The next prime is 38871209516819. The reversal of 38871209516778 is 87761590217883.

It is a happy number.

38871209516778 is a `hidden beast` number, since 3 + 8 + 87 + 1 + 20 + 9 + 516 + 7 + 7 + 8 = 666.

38871209516778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38871209516773) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 576237300 + ... + 576304752.

It is an arithmetic number, because the mean of its divisors is an integer number (490126834860).

Almost surely, 2^{38871209516778} is an apocalyptic number.

38871209516778 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38871209516778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47052176146560).

38871209516778 is an abundant number, since it is smaller than the sum of its proper divisors (55233142776342).

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

38871209516778 is a wasteful number, since it uses less digits than its factorization.

38871209516778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68765 (or 68762 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 38871209516778 in words is "thirty-eight trillion, eight hundred seventy-one billion, two hundred nine million, five hundred sixteen thousand, seven hundred seventy-eight".