384555055205100 has 576 divisors, whose sum is σ = 1271109963755520. Its totient is φ = 88923737702400.

The previous prime is 384555055205081. The next prime is 384555055205119. The reversal of 384555055205100 is 1502550555483.

It is an interprime number because it is at equal distance from previous prime (384555055205081) and next prime (384555055205119).

It is a self number, because there is not a number n which added to its sum of digits gives 384555055205100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127209742189 + ... + 127209745211.

It is an arithmetic number, because the mean of its divisors is an integer number (2206788131520).

Almost surely, 2^{384555055205100} is an apocalyptic number.

384555055205100 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 384555055205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635554981877760).

384555055205100 is an abundant number, since it is smaller than the sum of its proper divisors (886554908550420).

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

384555055205100 is a wasteful number, since it uses less digits than its factorization.

384555055205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 48.

The spelling of 384555055205100 in words is "three hundred eighty-four trillion, five hundred fifty-five billion, fifty-five million, two hundred five thousand, one hundred".