38854446059520 has 3328 divisors, whose sum is σ = 183619898542080. Its totient is φ = 7561222815744.

The previous prime is 38854446059509. The next prime is 38854446059603. The reversal of 38854446059520 is 2595064445883.

38854446059520 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 4 + 44 + 60 + 5 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45337742932 + ... + 45337743788.

It is an arithmetic number, because the mean of its divisors is an integer number (55174248360).

Almost surely, 2^{38854446059520} is an apocalyptic number.

38854446059520 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 38854446059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91809949271040).

38854446059520 is an abundant number, since it is smaller than the sum of its proper divisors (144765452482560).

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

38854446059520 is a wasteful number, since it uses less digits than its factorization.

38854446059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 38854446059520 in words is "thirty-eight trillion, eight hundred fifty-four billion, four hundred forty-six million, fifty-nine thousand, five hundred twenty".