38855898188800 has 528 divisors, whose sum is σ = 120507803649792. Its totient is φ = 12067961241600.

The previous prime is 38855898188753. The next prime is 38855898188803. The reversal of 38855898188800 is 888189855883.

38855898188800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38855898188800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38855898188803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557814774 + ... + 557884426.

Almost surely, 2^{38855898188800} 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 38855898188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60253901824896).

38855898188800 is an abundant number, since it is smaller than the sum of its proper divisors (81651905460992).

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

38855898188800 is a wasteful number, since it uses less digits than its factorization.

38855898188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69984 (or 69961 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 79.

The spelling of 38855898188800 in words is "thirty-eight trillion, eight hundred fifty-five billion, eight hundred ninety-eight million, one hundred eighty-eight thousand, eight hundred".