238527854136000 has 1792 divisors, whose sum is σ = 1028876758640640. Its totient is φ = 53337968640000.

The previous prime is 238527854135951. The next prime is 238527854136017. The reversal of 238527854136000 is 631458725832.

238527854136000 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 27 + 8 + 5 + 4 + 1 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73235446372 + ... + 73235449628.

It is an arithmetic number, because the mean of its divisors is an integer number (574149976920).

Almost surely, 2^{238527854136000} is an apocalyptic number.

238527854136000 is a gapful number since it is divisible by the number (20) 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 238527854136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514438379320320).

238527854136000 is an abundant number, since it is smaller than the sum of its proper divisors (790348904504640).

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

238527854136000 is a wasteful number, since it uses less digits than its factorization.

238527854136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 238527854136000 in words is "two hundred thirty-eight trillion, five hundred twenty-seven billion, eight hundred fifty-four million, one hundred thirty-six thousand".