38252155024000 has 256 divisors, whose sum is σ = 95560682031360. Its totient is φ = 15227558400000.

The previous prime is 38252155023997. The next prime is 38252155024009. The reversal of 38252155024000 is 42055125283.

It is not an unprimeable number, because it can be changed into a prime (38252155024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6196684914 + ... + 6196691086.

It is an arithmetic number, because the mean of its divisors is an integer number (373283914185).

Almost surely, 2^{38252155024000} 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 38252155024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47780341015680).

38252155024000 is an abundant number, since it is smaller than the sum of its proper divisors (57308527007360).

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

38252155024000 is a wasteful number, since it uses less digits than its factorization.

38252155024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 38252155024000 in words is "thirty-eight trillion, two hundred fifty-two billion, one hundred fifty-five million, twenty-four thousand".