38005856060544 has 384 divisors, whose sum is σ = 111145905561600. Its totient is φ = 12464576870400.

The previous prime is 38005856060449. The next prime is 38005856060551. The reversal of 38005856060544 is 44506065850083.

38005856060544 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 585 + 6 + 0 + 6 + 0 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8655396589 + ... + 8655400979.

It is an arithmetic number, because the mean of its divisors is an integer number (289442462400).

Almost surely, 2^{38005856060544} 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 38005856060544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55572952780800).

38005856060544 is an abundant number, since it is smaller than the sum of its proper divisors (73140049501056).

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

38005856060544 is a wasteful number, since it uses less digits than its factorization.

38005856060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 38005856060544 in words is "thirty-eight trillion, five billion, eight hundred fifty-six million, sixty thousand, five hundred forty-four".