38959042176000 has 1408 divisors, whose sum is σ = 156467570688000. Its totient is φ = 9524293632000.

The previous prime is 38959042175909. The next prime is 38959042176029. The reversal of 38959042176000 is 67124095983.

38959042176000 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 9 + 0 + 4 + 21 + 7 + 600 + 0 = 666.

38959042176000 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 (54).

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, 2035574431 + ... + 2035593569.

It is an arithmetic number, because the mean of its divisors is an integer number (111127536000).

It is a 1-persistent number, because it is pandigital, but 2⋅38959042176000 = 77918084352000 is not.

Almost surely, 2^{38959042176000} is an apocalyptic number.

38959042176000 is a gapful number since it is divisible by the number (30) 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 38959042176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78233785344000).

38959042176000 is an abundant number, since it is smaller than the sum of its proper divisors (117508528512000).

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

38959042176000 is a wasteful number, since it uses less digits than its factorization.

38959042176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233 (or 19199 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38959042176000 in words is "thirty-eight trillion, nine hundred fifty-nine billion, forty-two million, one hundred seventy-six thousand".