38139821395200 has 6912 divisors, whose sum is σ = 190605400473600. Its totient is φ = 7252357939200.

The previous prime is 38139821395187. The next prime is 38139821395223. The reversal of 38139821395200 is 259312893183.

38139821395200 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 9 + 82 + 1 + 39 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 569251065567 + ... + 569251065633.

It is an arithmetic number, because the mean of its divisors is an integer number (27576012800).

Almost surely, 2^{38139821395200} is an apocalyptic number.

38139821395200 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 38139821395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95302700236800).

38139821395200 is an abundant number, since it is smaller than the sum of its proper divisors (152465579078400).

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

38139821395200 is a wasteful number, since it uses less digits than its factorization.

38139821395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 38139821395200 in words is "thirty-eight trillion, one hundred thirty-nine billion, eight hundred twenty-one million, three hundred ninety-five thousand, two hundred".