38253950011200 has 1008 divisors, whose sum is σ = 166933323833472. Its totient is φ = 7481278464000.

The previous prime is 38253950011127. The next prime is 38253950011201. The reversal of 38253950011200 is 211005935283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38253950011201) 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 143 ways as a sum of consecutive naturals, for example, 68838460 + ... + 69391940.

It is an arithmetic number, because the mean of its divisors is an integer number (165608456184).

Almost surely, 2^{38253950011200} is an apocalyptic number.

38253950011200 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 38253950011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83466661916736).

38253950011200 is an abundant number, since it is smaller than the sum of its proper divisors (128679373822272).

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

38253950011200 is a wasteful number, since it uses less digits than its factorization.

38253950011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553552 (or 553526 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 38253950011200 its reverse (211005935283), we get a palindrome (38464955946483).

The spelling of 38253950011200 in words is "thirty-eight trillion, two hundred fifty-three billion, nine hundred fifty million, eleven thousand, two hundred".