38985683251200 has 1872 divisors, whose sum is σ = 154889575495200. Its totient is φ = 8620867584000.

The previous prime is 38985683251157. The next prime is 38985683251211. The reversal of 38985683251200 is 215238658983.

It is a happy number.

38985683251200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 143 ways as a sum of consecutive naturals, for example, 111706828626 + ... + 111706828974.

It is an arithmetic number, because the mean of its divisors is an integer number (82740157850).

Almost surely, 2^{38985683251200} is an apocalyptic number.

38985683251200 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 38985683251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77444787747600).

38985683251200 is an abundant number, since it is smaller than the sum of its proper divisors (115903892244000).

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

38985683251200 is a wasteful number, since it uses less digits than its factorization.

38985683251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 38985683251200 in words is "thirty-eight trillion, nine hundred eighty-five billion, six hundred eighty-three million, two hundred fifty-one thousand, two hundred".