38505920524566 has 128 divisors (see below), whose sum is σ = 88762600065024. Its totient is φ = 11030431057920.

The previous prime is 38505920524553. The next prime is 38505920524573. The reversal of 38505920524566 is 66542502950583.

38505920524566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 14499610 + ... + 16948466.

It is an arithmetic number, because the mean of its divisors is an integer number (693457813008).

Almost surely, 2^{38505920524566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38505920524566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381300032512).

38505920524566 is an abundant number, since it is smaller than the sum of its proper divisors (50256679540458).

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

38505920524566 is a wasteful number, since it uses less digits than its factorization.

38505920524566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449094.

The product of its (nonzero) digits is 77760000, while the sum is 60.

The spelling of 38505920524566 in words is "thirty-eight trillion, five hundred five billion, nine hundred twenty million, five hundred twenty-four thousand, five hundred sixty-six".