38578538016 has 72 divisors (see below), whose sum is σ = 110508616764. Its totient is φ = 12765634560.

The previous prime is 38578537967. The next prime is 38578538041. The reversal of 38578538016 is 61083587583.

38578538016 is a `hidden beast` number, since 3 + 8 + 578 + 53 + 8 + 0 + 16 = 666.

38578538016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38282835600 + 295702416 = 195660^2 + 17196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449425 + ... + 528336.

Almost surely, 2^38578538016 is an apocalyptic number.

38578538016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38578538016 is an abundant number, since it is smaller than the sum of its proper divisors (71930078748).

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

38578538016 is a wasteful number, since it uses less digits than its factorization.

38578538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977914 (or 977903 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

It can be divided in two parts, 385785 and 38016, that added together give a square (423801 = 651²).

The spelling of 38578538016 in words is "thirty-eight billion, five hundred seventy-eight million, five hundred thirty-eight thousand, sixteen".