38288231251200 has 648 divisors, whose sum is σ = 156486727208448. Its totient is φ = 8749242040320.

The previous prime is 38288231251139. The next prime is 38288231251201. The reversal of 38288231251200 is 215213288283.

38288231251200 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 82 + 312 + 51 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38288231251201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1821243889 + ... + 1821264911.

It is an arithmetic number, because the mean of its divisors is an integer number (241491862976).

Almost surely, 2^{38288231251200} is an apocalyptic number.

38288231251200 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 38288231251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78243363604224).

38288231251200 is an abundant number, since it is smaller than the sum of its proper divisors (118198495957248).

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

38288231251200 is a wasteful number, since it uses less digits than its factorization.

38288231251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25579 (or 25557 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 38288231251200 in words is "thirty-eight trillion, two hundred eighty-eight billion, two hundred thirty-one million, two hundred fifty-one thousand, two hundred".