385118819205120 has 6480 divisors, whose sum is σ = 1914010818842304. Its totient is φ = 73574645760000.

The previous prime is 385118819205119. The next prime is 385118819205137. The reversal of 385118819205120 is 21502918811583.

385118819205120 is a `hidden beast` number, since 3 + 8 + 5 + 11 + 88 + 19 + 20 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1534337924995 + ... + 1534337925245.

Almost surely, 2^{385118819205120} is an apocalyptic number.

385118819205120 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 385118819205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957005409421152).

385118819205120 is an abundant number, since it is smaller than the sum of its proper divisors (1528891999637184).

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

385118819205120 is a wasteful number, since it uses less digits than its factorization.

385118819205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 385118819205120 in words is "three hundred eighty-five trillion, one hundred eighteen billion, eight hundred nineteen million, two hundred five thousand, one hundred twenty".