38568152368200 has 384 divisors, whose sum is σ = 147164638360320. Its totient is φ = 8136775987200.

The previous prime is 38568152368139. The next prime is 38568152368219. The reversal of 38568152368200 is 286325186583.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 909669402 + ... + 909711798.

It is an arithmetic number, because the mean of its divisors is an integer number (383241245730).

Almost surely, 2^{38568152368200} is an apocalyptic number.

38568152368200 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 38568152368200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73582319180160).

38568152368200 is an abundant number, since it is smaller than the sum of its proper divisors (108596485992120).

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

38568152368200 is a wasteful number, since it uses less digits than its factorization.

38568152368200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59097 (or 59088 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 38568152368200 in words is "thirty-eight trillion, five hundred sixty-eight billion, one hundred fifty-two million, three hundred sixty-eight thousand, two hundred".