387854853120 has 1760 divisors, whose sum is σ = 1746252794880. Its totient is φ = 80263249920.

The previous prime is 387854853083. The next prime is 387854853151. The reversal of 387854853120 is 21358458783.

387854853120 is a `hidden beast` number, since 3 + 8 + 7 + 85 + 4 + 8 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 1431198585 + ... + 1431198855.

It is an arithmetic number, because the mean of its divisors is an integer number (992189088).

Almost surely, 2^387854853120 is an apocalyptic number.

387854853120 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 387854853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873126397440).

387854853120 is an abundant number, since it is smaller than the sum of its proper divisors (1358397941760).

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

387854853120 is a wasteful number, since it uses less digits than its factorization.

387854853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 387854853120 in words is "three hundred eighty-seven billion, eight hundred fifty-four million, eight hundred fifty-three thousand, one hundred twenty".