38855357188800 has 1344 divisors, whose sum is σ = 138979904716800. Its totient is φ = 9468648161280.

The previous prime is 38855357188799. The next prime is 38855357188861. The reversal of 38855357188800 is 888175355883.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171168974287 + ... + 171168974513.

It is an arithmetic number, because the mean of its divisors is an integer number (103407667200).

Almost surely, 2^{38855357188800} is an apocalyptic number.

38855357188800 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 38855357188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69489952358400).

38855357188800 is an abundant number, since it is smaller than the sum of its proper divisors (100124547528000).

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

38855357188800 is a wasteful number, since it uses less digits than its factorization.

38855357188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 69.

The spelling of 38855357188800 in words is "thirty-eight trillion, eight hundred fifty-five billion, three hundred fifty-seven million, one hundred eighty-eight thousand, eight hundred".